Finding the Fourth Proportional to 9,711.50, 13,401.87 and 5,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,711.50 : 13,401.87 = 5,295.50 : x
2. Step 2: Convert to fraction form
   9,711.50/13,401.87 = 5,295.50/x
3. Step 3: Cross multiply
   9,711.50x = 13,401.87 × 5,295.50
4. Step 4: Simplify right side
   9,711.50x = 70,969,602.59
5. Step 5: Solve for x
   x = 70,969,602.59/9,711.50
6. Step 6: Final answer
   x = 7,307.79