Finding the Fourth Proportional to 10,978.10, 15,149.67 and 5,942.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.10 : 15,149.67 = 5,942.21 : x
2. Step 2: Convert to fraction form
   10,978.10/15,149.67 = 5,942.21/x
3. Step 3: Cross multiply
   10,978.10x = 15,149.67 × 5,942.21
4. Step 4: Simplify right side
   10,978.10x = 90,022,520.57
5. Step 5: Solve for x
   x = 90,022,520.57/10,978.10
6. Step 6: Final answer
   x = 8,200.19