Finding the Fourth Proportional to 9,256.98, 13,877.55 and 3,714.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.98 : 13,877.55 = 3,714.24 : x
2. Step 2: Convert to fraction form
   9,256.98/13,877.55 = 3,714.24/x
3. Step 3: Cross multiply
   9,256.98x = 13,877.55 × 3,714.24
4. Step 4: Simplify right side
   9,256.98x = 51,544,551.31
5. Step 5: Solve for x
   x = 51,544,551.31/9,256.98
6. Step 6: Final answer
   x = 5,568.18