Finding the Fourth Proportional to 10,407.09, 14,362.12 and 5,691.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.09 : 14,362.12 = 5,691.37 : x
2. Step 2: Convert to fraction form
   10,407.09/14,362.12 = 5,691.37/x
3. Step 3: Cross multiply
   10,407.09x = 14,362.12 × 5,691.37
4. Step 4: Simplify right side
   10,407.09x = 81,740,138.90
5. Step 5: Solve for x
   x = 81,740,138.90/10,407.09
6. Step 6: Final answer
   x = 7,854.27