Finding the Fourth Proportional to 9,666.18, 14,504.85 and 5,223.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.18 : 14,504.85 = 5,223.86 : x
2. Step 2: Convert to fraction form
   9,666.18/14,504.85 = 5,223.86/x
3. Step 3: Cross multiply
   9,666.18x = 14,504.85 × 5,223.86
4. Step 4: Simplify right side
   9,666.18x = 75,771,305.72
5. Step 5: Solve for x
   x = 75,771,305.72/9,666.18
6. Step 6: Final answer
   x = 7,838.81