Finding the Fourth Proportional to 10,168.13, 14,032.05 and 5,691.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168.13 : 14,032.05 = 5,691.89 : x
2. Step 2: Convert to fraction form
   10,168.13/14,032.05 = 5,691.89/x
3. Step 3: Cross multiply
   10,168.13x = 14,032.05 × 5,691.89
4. Step 4: Simplify right side
   10,168.13x = 79,868,885.07
5. Step 5: Solve for x
   x = 79,868,885.07/10,168.13
6. Step 6: Final answer
   x = 7,854.83