Finding the Fourth Proportional to 2,549.10, 3,824.88 and 906.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.10 : 3,824.88 = 906.42 : x
2. Step 2: Convert to fraction form
   2,549.10/3,824.88 = 906.42/x
3. Step 3: Cross multiply
   2,549.10x = 3,824.88 × 906.42
4. Step 4: Simplify right side
   2,549.10x = 3,466,947.73
5. Step 5: Solve for x
   x = 3,466,947.73/2,549.10
6. Step 6: Final answer
   x = 1,360.07