Finding the Fourth Proportional to 9,684.86, 14,507.04 and 5,787.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.86 : 14,507.04 = 5,787.14 : x
2. Step 2: Convert to fraction form
   9,684.86/14,507.04 = 5,787.14/x
3. Step 3: Cross multiply
   9,684.86x = 14,507.04 × 5,787.14
4. Step 4: Simplify right side
   9,684.86x = 83,954,271.47
5. Step 5: Solve for x
   x = 83,954,271.47/9,684.86
6. Step 6: Final answer
   x = 8,668.61