Finding the Fourth Proportional to 6,978.29, 10,474.29 and 5,124.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.29 : 10,474.29 = 5,124.20 : x
2. Step 2: Convert to fraction form
   6,978.29/10,474.29 = 5,124.20/x
3. Step 3: Cross multiply
   6,978.29x = 10,474.29 × 5,124.20
4. Step 4: Simplify right side
   6,978.29x = 53,672,304.45
5. Step 5: Solve for x
   x = 53,672,304.45/6,978.29
6. Step 6: Final answer
   x = 7,691.33