Finding the Fourth Proportional to 10,978.08, 15,149.74 and 5,942.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.08 : 15,149.74 = 5,942.34 : x
2. Step 2: Convert to fraction form
   10,978.08/15,149.74 = 5,942.34/x
3. Step 3: Cross multiply
   10,978.08x = 15,149.74 × 5,942.34
4. Step 4: Simplify right side
   10,978.08x = 90,024,863.85
5. Step 5: Solve for x
   x = 90,024,863.85/10,978.08
6. Step 6: Final answer
   x = 8,200.42