Finding the Fourth Proportional to 1,456.77, 2,185.61 and 532.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.77 : 2,185.61 = 532.61 : x
2. Step 2: Convert to fraction form
   1,456.77/2,185.61 = 532.61/x
3. Step 3: Cross multiply
   1,456.77x = 2,185.61 × 532.61
4. Step 4: Simplify right side
   1,456.77x = 1,164,064.15
5. Step 5: Solve for x
   x = 1,164,064.15/1,456.77
6. Step 6: Final answer
   x = 799.07