Finding the Fourth Proportional to 10,694.25, 14,758.07 and 5,978.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694.25 : 14,758.07 = 5,978.66 : x
2. Step 2: Convert to fraction form
   10,694.25/14,758.07 = 5,978.66/x
3. Step 3: Cross multiply
   10,694.25x = 14,758.07 × 5,978.66
4. Step 4: Simplify right side
   10,694.25x = 88,233,379.10
5. Step 5: Solve for x
   x = 88,233,379.10/10,694.25
6. Step 6: Final answer
   x = 8,250.54