Finding the Fourth Proportional to 1,642.56, 2,459.52 and 1,152.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.56 : 2,459.52 = 1,152.96 : x
2. Step 2: Convert to fraction form
   1,642.56/2,459.52 = 1,152.96/x
3. Step 3: Cross multiply
   1,642.56x = 2,459.52 × 1,152.96
4. Step 4: Simplify right side
   1,642.56x = 2,835,728.18
5. Step 5: Solve for x
   x = 2,835,728.18/1,642.56
6. Step 6: Final answer
   x = 1,726.41