Finding the Fourth Proportional to 1,101.59, 1,520.67 and 727.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.59 : 1,520.67 = 727.91 : x
2. Step 2: Convert to fraction form
   1,101.59/1,520.67 = 727.91/x
3. Step 3: Cross multiply
   1,101.59x = 1,520.67 × 727.91
4. Step 4: Simplify right side
   1,101.59x = 1,106,910.90
5. Step 5: Solve for x
   x = 1,106,910.90/1,101.59
6. Step 6: Final answer
   x = 1,004.83