Finding the Fourth Proportional to 10,397.15, 14,347.85 and 5,681.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.15 : 14,347.85 = 5,681.46 : x
2. Step 2: Convert to fraction form
   10,397.15/14,347.85 = 5,681.46/x
3. Step 3: Cross multiply
   10,397.15x = 14,347.85 × 5,681.46
4. Step 4: Simplify right side
   10,397.15x = 81,516,735.86
5. Step 5: Solve for x
   x = 81,516,735.86/10,397.15
6. Step 6: Final answer
   x = 7,840.30