Finding the Fourth Proportional to 10,202.05, 14,078.51 and 5,725.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.05 : 14,078.51 = 5,725.69 : x
2. Step 2: Convert to fraction form
   10,202.05/14,078.51 = 5,725.69/x
3. Step 3: Cross multiply
   10,202.05x = 14,078.51 × 5,725.69
4. Step 4: Simplify right side
   10,202.05x = 80,609,141.57
5. Step 5: Solve for x
   x = 80,609,141.57/10,202.05
6. Step 6: Final answer
   x = 7,901.27