Finding the Fourth Proportional to 10,694.64, 14,758.83 and 5,978.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694.64 : 14,758.83 = 5,978.82 : x
2. Step 2: Convert to fraction form
   10,694.64/14,758.83 = 5,978.82/x
3. Step 3: Cross multiply
   10,694.64x = 14,758.83 × 5,978.82
4. Step 4: Simplify right side
   10,694.64x = 88,240,387.98
5. Step 5: Solve for x
   x = 88,240,387.98/10,694.64
6. Step 6: Final answer
   x = 8,250.90