Finding the Fourth Proportional to 10,407.19, 14,361.96 and 5,691.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.19 : 14,361.96 = 5,691.46 : x
2. Step 2: Convert to fraction form
   10,407.19/14,361.96 = 5,691.46/x
3. Step 3: Cross multiply
   10,407.19x = 14,361.96 × 5,691.46
4. Step 4: Simplify right side
   10,407.19x = 81,740,520.86
5. Step 5: Solve for x
   x = 81,740,520.86/10,407.19
6. Step 6: Final answer
   x = 7,854.24