Finding the Fourth Proportional to 10,758.24, 14,847.12 and 5,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.24 : 14,847.12 = 5,978.88 : x
2. Step 2: Convert to fraction form
   10,758.24/14,847.12 = 5,978.88/x
3. Step 3: Cross multiply
   10,758.24x = 14,847.12 × 5,978.88
4. Step 4: Simplify right side
   10,758.24x = 88,769,148.83
5. Step 5: Solve for x
   x = 88,769,148.83/10,758.24
6. Step 6: Final answer
   x = 8,251.27