Finding the Fourth Proportional to 10,978.31, 15,150.09 and 5,942.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.31 : 15,150.09 = 5,942.54 : x
2. Step 2: Convert to fraction form
   10,978.31/15,150.09 = 5,942.54/x
3. Step 3: Cross multiply
   10,978.31x = 15,150.09 × 5,942.54
4. Step 4: Simplify right side
   10,978.31x = 90,030,015.83
5. Step 5: Solve for x
   x = 90,030,015.83/10,978.31
6. Step 6: Final answer
   x = 8,200.72