Finding the Fourth Proportional to 10,403, 14,356.14 and 5,687.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,403 : 14,356.14 = 5,687.30 : x
2. Step 2: Convert to fraction form
   10,403/14,356.14 = 5,687.30/x
3. Step 3: Cross multiply
   10,403x = 14,356.14 × 5,687.30
4. Step 4: Simplify right side
   10,403x = 81,647,675.02
5. Step 5: Solve for x
   x = 81,647,675.02/10,403
6. Step 6: Final answer
   x = 7,848.47