Finding the Fourth Proportional to 99,782.52, 137,698.81 and 54,460.14

Step by Step Solution

1. Step 1: Write the proportion equation
   99,782.52 : 137,698.81 = 54,460.14 : x
2. Step 2: Convert to fraction form
   99,782.52/137,698.81 = 54,460.14/x
3. Step 3: Cross multiply
   99,782.52x = 137,698.81 × 54,460.14
4. Step 4: Simplify right side
   99,782.52x = 7,499,096,470.43
5. Step 5: Solve for x
   x = 7,499,096,470.43/99,782.52
6. Step 6: Final answer
   x = 75,154.41