Finding the Fourth Proportional to 10,758.56, 14,847 and 5,978.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.56 : 14,847 = 5,978.95 : x
2. Step 2: Convert to fraction form
   10,758.56/14,847 = 5,978.95/x
3. Step 3: Cross multiply
   10,758.56x = 14,847 × 5,978.95
4. Step 4: Simplify right side
   10,758.56x = 88,769,470.65
5. Step 5: Solve for x
   x = 88,769,470.65/10,758.56
6. Step 6: Final answer
   x = 8,251.06