Finding the Fourth Proportional to 10,417.72, 14,376.82 and 5,702

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.72 : 14,376.82 = 5,702 : x
2. Step 2: Convert to fraction form
   10,417.72/14,376.82 = 5,702/x
3. Step 3: Cross multiply
   10,417.72x = 14,376.82 × 5,702
4. Step 4: Simplify right side
   10,417.72x = 81,976,627.64
5. Step 5: Solve for x
   x = 81,976,627.64/10,417.72
6. Step 6: Final answer
   x = 7,868.96