Finding the Fourth Proportional to 10,201.82, 14,078.76 and 5,725.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.82 : 14,078.76 = 5,725.91 : x
2. Step 2: Convert to fraction form
   10,201.82/14,078.76 = 5,725.91/x
3. Step 3: Cross multiply
   10,201.82x = 14,078.76 × 5,725.91
4. Step 4: Simplify right side
   10,201.82x = 80,613,642.28
5. Step 5: Solve for x
   x = 80,613,642.28/10,201.82
6. Step 6: Final answer
   x = 7,901.89