Finding the Fourth Proportional to 10,202.33, 14,079.32 and 5,725.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.33 : 14,079.32 = 5,725.86 : x
2. Step 2: Convert to fraction form
   10,202.33/14,079.32 = 5,725.86/x
3. Step 3: Cross multiply
   10,202.33x = 14,079.32 × 5,725.86
4. Step 4: Simplify right side
   10,202.33x = 80,616,186.59
5. Step 5: Solve for x
   x = 80,616,186.59/10,202.33
6. Step 6: Final answer
   x = 7,901.75