Finding the Fourth Proportional to 1,152.56, 1,727.52 and 494.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,727.52 = 494.10 : x
2. Step 2: Convert to fraction form
   1,152.56/1,727.52 = 494.10/x
3. Step 3: Cross multiply
   1,152.56x = 1,727.52 × 494.10
4. Step 4: Simplify right side
   1,152.56x = 853,567.63
5. Step 5: Solve for x
   x = 853,567.63/1,152.56
6. Step 6: Final answer
   x = 740.59