Finding the Fourth Proportional to 10,978.09, 15,149.75 and 5,942.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.09 : 15,149.75 = 5,942.30 : x
2. Step 2: Convert to fraction form
   10,978.09/15,149.75 = 5,942.30/x
3. Step 3: Cross multiply
   10,978.09x = 15,149.75 × 5,942.30
4. Step 4: Simplify right side
   10,978.09x = 90,024,253.96
5. Step 5: Solve for x
   x = 90,024,253.96/10,978.09
6. Step 6: Final answer
   x = 8,200.36