Finding the Fourth Proportional to 10,204.86, 14,081.93 and 5,727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.86 : 14,081.93 = 5,727.75 : x
2. Step 2: Convert to fraction form
   10,204.86/14,081.93 = 5,727.75/x
3. Step 3: Cross multiply
   10,204.86x = 14,081.93 × 5,727.75
4. Step 4: Simplify right side
   10,204.86x = 80,657,714.59
5. Step 5: Solve for x
   x = 80,657,714.59/10,204.86
6. Step 6: Final answer
   x = 7,903.85