Finding the Fourth Proportional to 10,414.89, 14,372.57 and 5,699.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.89 : 14,372.57 = 5,699.48 : x
2. Step 2: Convert to fraction form
   10,414.89/14,372.57 = 5,699.48/x
3. Step 3: Cross multiply
   10,414.89x = 14,372.57 × 5,699.48
4. Step 4: Simplify right side
   10,414.89x = 81,916,117.65
5. Step 5: Solve for x
   x = 81,916,117.65/10,414.89
6. Step 6: Final answer
   x = 7,865.29