Finding the Fourth Proportional to 3,774.72, 5,209.24 and 2,282.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.72 : 5,209.24 = 2,282.34 : x
2. Step 2: Convert to fraction form
   3,774.72/5,209.24 = 2,282.34/x
3. Step 3: Cross multiply
   3,774.72x = 5,209.24 × 2,282.34
4. Step 4: Simplify right side
   3,774.72x = 11,889,256.82
5. Step 5: Solve for x
   x = 11,889,256.82/3,774.72
6. Step 6: Final answer
   x = 3,149.71