Finding the Fourth Proportional to 10,407.38, 14,362.23 and 5,691.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.38 : 14,362.23 = 5,691.65 : x
2. Step 2: Convert to fraction form
   10,407.38/14,362.23 = 5,691.65/x
3. Step 3: Cross multiply
   10,407.38x = 14,362.23 × 5,691.65
4. Step 4: Simplify right side
   10,407.38x = 81,744,714.57
5. Step 5: Solve for x
   x = 81,744,714.57/10,407.38
6. Step 6: Final answer
   x = 7,854.50