Finding the Fourth Proportional to 7,864.52, 10,782.70 and 7,724.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,864.52 : 10,782.70 = 7,724.12 : x
2. Step 2: Convert to fraction form
   7,864.52/10,782.70 = 7,724.12/x
3. Step 3: Cross multiply
   7,864.52x = 10,782.70 × 7,724.12
4. Step 4: Simplify right side
   7,864.52x = 83,286,868.72
5. Step 5: Solve for x
   x = 83,286,868.72/7,864.52
6. Step 6: Final answer
   x = 10,590.20