Finding the Fourth Proportional to 10,209.66, 14,089.05 and 5,733.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209.66 : 14,089.05 = 5,733.42 : x
2. Step 2: Convert to fraction form
   10,209.66/14,089.05 = 5,733.42/x
3. Step 3: Cross multiply
   10,209.66x = 14,089.05 × 5,733.42
4. Step 4: Simplify right side
   10,209.66x = 80,778,441.05
5. Step 5: Solve for x
   x = 80,778,441.05/10,209.66
6. Step 6: Final answer
   x = 7,911.96