Finding the Fourth Proportional to 10,694.16, 14,757.57 and 5,978.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694.16 : 14,757.57 = 5,978.43 : x
2. Step 2: Convert to fraction form
   10,694.16/14,757.57 = 5,978.43/x
3. Step 3: Cross multiply
   10,694.16x = 14,757.57 × 5,978.43
4. Step 4: Simplify right side
   10,694.16x = 88,227,099.22
5. Step 5: Solve for x
   x = 88,227,099.22/10,694.16
6. Step 6: Final answer
   x = 8,250.03