Finding the Fourth Proportional to 1,109.73, 1,664.78 and 532.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.73 : 1,664.78 = 532.61 : x
2. Step 2: Convert to fraction form
   1,109.73/1,664.78 = 532.61/x
3. Step 3: Cross multiply
   1,109.73x = 1,664.78 × 532.61
4. Step 4: Simplify right side
   1,109.73x = 886,667.49
5. Step 5: Solve for x
   x = 886,667.49/1,109.73
6. Step 6: Final answer
   x = 798.99