Finding the Fourth Proportional to 9,514.78, 14,274.34 and 3,671.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.78 : 14,274.34 = 3,671.72 : x
2. Step 2: Convert to fraction form
   9,514.78/14,274.34 = 3,671.72/x
3. Step 3: Cross multiply
   9,514.78x = 14,274.34 × 3,671.72
4. Step 4: Simplify right side
   9,514.78x = 52,411,379.66
5. Step 5: Solve for x
   x = 52,411,379.66/9,514.78
6. Step 6: Final answer
   x = 5,508.42