Finding the Fourth Proportional to 7,802.43, 10,760.34 and 5,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802.43 : 10,760.34 = 5,152.50 : x
2. Step 2: Convert to fraction form
   7,802.43/10,760.34 = 5,152.50/x
3. Step 3: Cross multiply
   7,802.43x = 10,760.34 × 5,152.50
4. Step 4: Simplify right side
   7,802.43x = 55,442,651.85
5. Step 5: Solve for x
   x = 55,442,651.85/7,802.43
6. Step 6: Final answer
   x = 7,105.82