Finding the Fourth Proportional to 10,397.77, 14,348.85 and 5,682.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.77 : 14,348.85 = 5,682.05 : x
2. Step 2: Convert to fraction form
   10,397.77/14,348.85 = 5,682.05/x
3. Step 3: Cross multiply
   10,397.77x = 14,348.85 × 5,682.05
4. Step 4: Simplify right side
   10,397.77x = 81,530,843.90
5. Step 5: Solve for x
   x = 81,530,843.90/10,397.77
6. Step 6: Final answer
   x = 7,841.19