Finding the Fourth Proportional to 10,978.04, 15,149.73 and 5,942.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.04 : 15,149.73 = 5,942.32 : x
2. Step 2: Convert to fraction form
   10,978.04/15,149.73 = 5,942.32/x
3. Step 3: Cross multiply
   10,978.04x = 15,149.73 × 5,942.32
4. Step 4: Simplify right side
   10,978.04x = 90,024,570.59
5. Step 5: Solve for x
   x = 90,024,570.59/10,978.04
6. Step 6: Final answer
   x = 8,200.42