Finding the Fourth Proportional to 7,762.38, 10,724.61 and 5,415

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.38 : 10,724.61 = 5,415 : x
2. Step 2: Convert to fraction form
   7,762.38/10,724.61 = 5,415/x
3. Step 3: Cross multiply
   7,762.38x = 10,724.61 × 5,415
4. Step 4: Simplify right side
   7,762.38x = 58,073,763.15
5. Step 5: Solve for x
   x = 58,073,763.15/7,762.38
6. Step 6: Final answer
   x = 7,481.44