Finding the Fourth Proportional to 256,834.32, 385,322.55 and 107,145.10

Step by Step Solution

1. Step 1: Write the proportion equation
   256,834.32 : 385,322.55 = 107,145.10 : x
2. Step 2: Convert to fraction form
   256,834.32/385,322.55 = 107,145.10/x
3. Step 3: Cross multiply
   256,834.32x = 385,322.55 × 107,145.10
4. Step 4: Simplify right side
   256,834.32x = 41,285,423,152.01
5. Step 5: Solve for x
   x = 41,285,423,152.01/256,834.32
6. Step 6: Final answer
   x = 160,747.30