Finding the Fourth Proportional to 10,758.27, 14,845.86 and 5,978.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.27 : 14,845.86 = 5,978.49 : x
2. Step 2: Convert to fraction form
   10,758.27/14,845.86 = 5,978.49/x
3. Step 3: Cross multiply
   10,758.27x = 14,845.86 × 5,978.49
4. Step 4: Simplify right side
   10,758.27x = 88,755,825.55
5. Step 5: Solve for x
   x = 88,755,825.55/10,758.27
6. Step 6: Final answer
   x = 8,250.01