Finding the Fourth Proportional to 10,407.05, 14,361.78 and 5,691.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.05 : 14,361.78 = 5,691.33 : x
2. Step 2: Convert to fraction form
   10,407.05/14,361.78 = 5,691.33/x
3. Step 3: Cross multiply
   10,407.05x = 14,361.78 × 5,691.33
4. Step 4: Simplify right side
   10,407.05x = 81,737,629.37
5. Step 5: Solve for x
   x = 81,737,629.37/10,407.05
6. Step 6: Final answer
   x = 7,854.06