Finding the Fourth Proportional to 83,007.16, 114,555.29 and 47,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,007.16 : 114,555.29 = 47,200.50 : x
2. Step 2: Convert to fraction form
   83,007.16/114,555.29 = 47,200.50/x
3. Step 3: Cross multiply
   83,007.16x = 114,555.29 × 47,200.50
4. Step 4: Simplify right side
   83,007.16x = 5,407,066,729.64
5. Step 5: Solve for x
   x = 5,407,066,729.64/83,007.16
6. Step 6: Final answer
   x = 65,139.76