Finding the Fourth Proportional to 2,202.56, 3,302.72 and 1,032.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,202.56 : 3,302.72 = 1,032.24 : x
2. Step 2: Convert to fraction form
   2,202.56/3,302.72 = 1,032.24/x
3. Step 3: Cross multiply
   2,202.56x = 3,302.72 × 1,032.24
4. Step 4: Simplify right side
   2,202.56x = 3,409,199.69
5. Step 5: Solve for x
   x = 3,409,199.69/2,202.56
6. Step 6: Final answer
   x = 1,547.84