Finding the Fourth Proportional to 10,946.88, 15,107.05 and 5,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.88 : 15,107.05 = 5,978.88 : x
2. Step 2: Convert to fraction form
   10,946.88/15,107.05 = 5,978.88/x
3. Step 3: Cross multiply
   10,946.88x = 15,107.05 × 5,978.88
4. Step 4: Simplify right side
   10,946.88x = 90,323,148.62
5. Step 5: Solve for x
   x = 90,323,148.62/10,946.88
6. Step 6: Final answer
   x = 8,251.04