Finding the Fourth Proportional to 9,985.16, 14,978.12 and 2,589.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,985.16 : 14,978.12 = 2,589.43 : x
2. Step 2: Convert to fraction form
   9,985.16/14,978.12 = 2,589.43/x
3. Step 3: Cross multiply
   9,985.16x = 14,978.12 × 2,589.43
4. Step 4: Simplify right side
   9,985.16x = 38,784,724.85
5. Step 5: Solve for x
   x = 38,784,724.85/9,985.16
6. Step 6: Final answer
   x = 3,884.24