Finding the Fourth Proportional to 10,417.50, 14,376.16 and 5,701.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.50 : 14,376.16 = 5,701.90 : x
2. Step 2: Convert to fraction form
   10,417.50/14,376.16 = 5,701.90/x
3. Step 3: Cross multiply
   10,417.50x = 14,376.16 × 5,701.90
4. Step 4: Simplify right side
   10,417.50x = 81,971,426.70
5. Step 5: Solve for x
   x = 81,971,426.70/10,417.50
6. Step 6: Final answer
   x = 7,868.63