Finding the Fourth Proportional to 10,978.42, 15,150.21 and 5,942.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.42 : 15,150.21 = 5,942.62 : x
2. Step 2: Convert to fraction form
   10,978.42/15,150.21 = 5,942.62/x
3. Step 3: Cross multiply
   10,978.42x = 15,150.21 × 5,942.62
4. Step 4: Simplify right side
   10,978.42x = 90,031,940.95
5. Step 5: Solve for x
   x = 90,031,940.95/10,978.42
6. Step 6: Final answer
   x = 8,200.81