Finding the Fourth Proportional to 9,689.14, 14,535.18 and 4,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.14 : 14,535.18 = 4,142.50 : x
2. Step 2: Convert to fraction form
   9,689.14/14,535.18 = 4,142.50/x
3. Step 3: Cross multiply
   9,689.14x = 14,535.18 × 4,142.50
4. Step 4: Simplify right side
   9,689.14x = 60,211,983.15
5. Step 5: Solve for x
   x = 60,211,983.15/9,689.14
6. Step 6: Final answer
   x = 6,214.38