Finding the Fourth Proportional to 10,863.50, 14,990.67 and 7,678.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,863.50 : 14,990.67 = 7,678.02 : x
2. Step 2: Convert to fraction form
   10,863.50/14,990.67 = 7,678.02/x
3. Step 3: Cross multiply
   10,863.50x = 14,990.67 × 7,678.02
4. Step 4: Simplify right side
   10,863.50x = 115,098,664.07
5. Step 5: Solve for x
   x = 115,098,664.07/10,863.50
6. Step 6: Final answer
   x = 10,594.99