Finding the Fourth Proportional to 10,643, 14,680.68 and 7,654.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,643 : 14,680.68 = 7,654.10 : x
2. Step 2: Convert to fraction form
   10,643/14,680.68 = 7,654.10/x
3. Step 3: Cross multiply
   10,643x = 14,680.68 × 7,654.10
4. Step 4: Simplify right side
   10,643x = 112,367,392.79
5. Step 5: Solve for x
   x = 112,367,392.79/10,643
6. Step 6: Final answer
   x = 10,557.87