Finding the Fourth Proportional to 10,397.12, 14,348.22 and 5,681.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.12 : 14,348.22 = 5,681.57 : x
2. Step 2: Convert to fraction form
   10,397.12/14,348.22 = 5,681.57/x
3. Step 3: Cross multiply
   10,397.12x = 14,348.22 × 5,681.57
4. Step 4: Simplify right side
   10,397.12x = 81,520,416.31
5. Step 5: Solve for x
   x = 81,520,416.31/10,397.12
6. Step 6: Final answer
   x = 7,840.67