Finding the Fourth Proportional to 9,874.27, 13,614.12 and 7,978.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.27 : 13,614.12 = 7,978.87 : x
2. Step 2: Convert to fraction form
   9,874.27/13,614.12 = 7,978.87/x
3. Step 3: Cross multiply
   9,874.27x = 13,614.12 × 7,978.87
4. Step 4: Simplify right side
   9,874.27x = 108,625,293.64
5. Step 5: Solve for x
   x = 108,625,293.64/9,874.27
6. Step 6: Final answer
   x = 11,000.84