Finding the Fourth Proportional to 256,061.46, 383,875.31 and 106,208.22

Step by Step Solution

1. Step 1: Write the proportion equation
   256,061.46 : 383,875.31 = 106,208.22 : x
2. Step 2: Convert to fraction form
   256,061.46/383,875.31 = 106,208.22/x
3. Step 3: Cross multiply
   256,061.46x = 383,875.31 × 106,208.22
4. Step 4: Simplify right side
   256,061.46x = 40,770,715,082.10
5. Step 5: Solve for x
   x = 40,770,715,082.10/256,061.46
6. Step 6: Final answer
   x = 159,222.38