Finding the Fourth Proportional to 109,854.82, 164,767.65 and 30,975.40

Step by Step Solution

1. Step 1: Write the proportion equation
   109,854.82 : 164,767.65 = 30,975.40 : x
2. Step 2: Convert to fraction form
   109,854.82/164,767.65 = 30,975.40/x
3. Step 3: Cross multiply
   109,854.82x = 164,767.65 × 30,975.40
4. Step 4: Simplify right side
   109,854.82x = 5,103,743,865.81
5. Step 5: Solve for x
   x = 5,103,743,865.81/109,854.82
6. Step 6: Final answer
   x = 46,458.99