Finding the Fourth Proportional to 76,385.50, 114,584.91 and 31,409.59

Step by Step Solution

1. Step 1: Write the proportion equation
   76,385.50 : 114,584.91 = 31,409.59 : x
2. Step 2: Convert to fraction form
   76,385.50/114,584.91 = 31,409.59/x
3. Step 3: Cross multiply
   76,385.50x = 114,584.91 × 31,409.59
4. Step 4: Simplify right side
   76,385.50x = 3,599,065,043.29
5. Step 5: Solve for x
   x = 3,599,065,043.29/76,385.50
6. Step 6: Final answer
   x = 47,117.13