Finding the Fourth Proportional to 10,403.42, 14,356.86 and 5,687.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,403.42 : 14,356.86 = 5,687.69 : x
2. Step 2: Convert to fraction form
   10,403.42/14,356.86 = 5,687.69/x
3. Step 3: Cross multiply
   10,403.42x = 14,356.86 × 5,687.69
4. Step 4: Simplify right side
   10,403.42x = 81,657,369.05
5. Step 5: Solve for x
   x = 81,657,369.05/10,403.42
6. Step 6: Final answer
   x = 7,849.09