Finding the Fourth Proportional to 10,407.57, 14,362.56 and 5,691.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.57 : 14,362.56 = 5,691.75 : x
2. Step 2: Convert to fraction form
   10,407.57/14,362.56 = 5,691.75/x
3. Step 3: Cross multiply
   10,407.57x = 14,362.56 × 5,691.75
4. Step 4: Simplify right side
   10,407.57x = 81,748,100.88
5. Step 5: Solve for x
   x = 81,748,100.88/10,407.57
6. Step 6: Final answer
   x = 7,854.68