Finding the Fourth Proportional to 10,407.63, 14,362.23 and 5,691.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.63 : 14,362.23 = 5,691.81 : x
2. Step 2: Convert to fraction form
   10,407.63/14,362.23 = 5,691.81/x
3. Step 3: Cross multiply
   10,407.63x = 14,362.23 × 5,691.81
4. Step 4: Simplify right side
   10,407.63x = 81,747,012.53
5. Step 5: Solve for x
   x = 81,747,012.53/10,407.63
6. Step 6: Final answer
   x = 7,854.53