Finding the Fourth Proportional to 10,205, 14,081.92 and 5,727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 14,081.92 = 5,727.72 : x
2. Step 2: Convert to fraction form
   10,205/14,081.92 = 5,727.72/x
3. Step 3: Cross multiply
   10,205x = 14,081.92 × 5,727.72
4. Step 4: Simplify right side
   10,205x = 80,657,294.82
5. Step 5: Solve for x
   x = 80,657,294.82/10,205
6. Step 6: Final answer
   x = 7,903.70