Finding the Fourth Proportional to 10,463.16, 15,686.82 and 5,200.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,463.16 : 15,686.82 = 5,200.32 : x
2. Step 2: Convert to fraction form
   10,463.16/15,686.82 = 5,200.32/x
3. Step 3: Cross multiply
   10,463.16x = 15,686.82 × 5,200.32
4. Step 4: Simplify right side
   10,463.16x = 81,576,483.78
5. Step 5: Solve for x
   x = 81,576,483.78/10,463.16
6. Step 6: Final answer
   x = 7,796.54