Finding the Fourth Proportional to 10,201.35, 14,077.86 and 5,725.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.35 : 14,077.86 = 5,725.08 : x
2. Step 2: Convert to fraction form
   10,201.35/14,077.86 = 5,725.08/x
3. Step 3: Cross multiply
   10,201.35x = 14,077.86 × 5,725.08
4. Step 4: Simplify right side
   10,201.35x = 80,596,874.73
5. Step 5: Solve for x
   x = 80,596,874.73/10,201.35
6. Step 6: Final answer
   x = 7,900.61