Finding the Fourth Proportional to 10,978.19, 15,149.83 and 5,942.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.19 : 15,149.83 = 5,942.37 : x
2. Step 2: Convert to fraction form
   10,978.19/15,149.83 = 5,942.37/x
3. Step 3: Cross multiply
   10,978.19x = 15,149.83 × 5,942.37
4. Step 4: Simplify right side
   10,978.19x = 90,025,865.59
5. Step 5: Solve for x
   x = 90,025,865.59/10,978.19
6. Step 6: Final answer
   x = 8,200.43