Finding the Fourth Proportional to 9,182.56, 13,773.72 and 2,257

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.56 : 13,773.72 = 2,257 : x
2. Step 2: Convert to fraction form
   9,182.56/13,773.72 = 2,257/x
3. Step 3: Cross multiply
   9,182.56x = 13,773.72 × 2,257
4. Step 4: Simplify right side
   9,182.56x = 31,087,286.04
5. Step 5: Solve for x
   x = 31,087,286.04/9,182.56
6. Step 6: Final answer
   x = 3,385.47