Finding the Fourth Proportional to 10,403.88, 14,357.46 and 5,688.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,403.88 : 14,357.46 = 5,688.16 : x
2. Step 2: Convert to fraction form
   10,403.88/14,357.46 = 5,688.16/x
3. Step 3: Cross multiply
   10,403.88x = 14,357.46 × 5,688.16
4. Step 4: Simplify right side
   10,403.88x = 81,667,529.67
5. Step 5: Solve for x
   x = 81,667,529.67/10,403.88
6. Step 6: Final answer
   x = 7,849.72