Finding the Fourth Proportional to 10,978.59, 15,150.47 and 5,942.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.59 : 15,150.47 = 5,942.82 : x
2. Step 2: Convert to fraction form
   10,978.59/15,150.47 = 5,942.82/x
3. Step 3: Cross multiply
   10,978.59x = 15,150.47 × 5,942.82
4. Step 4: Simplify right side
   10,978.59x = 90,036,486.41
5. Step 5: Solve for x
   x = 90,036,486.41/10,978.59
6. Step 6: Final answer
   x = 8,201.10