Finding the Fourth Proportional to 10,414.74, 14,372.20 and 5,699

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.74 : 14,372.20 = 5,699 : x
2. Step 2: Convert to fraction form
   10,414.74/14,372.20 = 5,699/x
3. Step 3: Cross multiply
   10,414.74x = 14,372.20 × 5,699
4. Step 4: Simplify right side
   10,414.74x = 81,907,167.80
5. Step 5: Solve for x
   x = 81,907,167.80/10,414.74
6. Step 6: Final answer
   x = 7,864.54