Finding the Fourth Proportional to 1,772.56, 2,443.92 and 1,142

Step by Step Solution

1. Step 1: Write the proportion equation
   1,772.56 : 2,443.92 = 1,142 : x
2. Step 2: Convert to fraction form
   1,772.56/2,443.92 = 1,142/x
3. Step 3: Cross multiply
   1,772.56x = 2,443.92 × 1,142
4. Step 4: Simplify right side
   1,772.56x = 2,790,956.64
5. Step 5: Solve for x
   x = 2,790,956.64/1,772.56
6. Step 6: Final answer
   x = 1,574.53