Finding the Fourth Proportional to 9,714.27, 14,576.27 and 3,874.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.27 : 14,576.27 = 3,874.98 : x
2. Step 2: Convert to fraction form
   9,714.27/14,576.27 = 3,874.98/x
3. Step 3: Cross multiply
   9,714.27x = 14,576.27 × 3,874.98
4. Step 4: Simplify right side
   9,714.27x = 56,482,735.35
5. Step 5: Solve for x
   x = 56,482,735.35/9,714.27
6. Step 6: Final answer
   x = 5,814.41