Finding the Fourth Proportional to 1,152.53, 1,728.77 and 800.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.53 : 1,728.77 = 800.81 : x
2. Step 2: Convert to fraction form
   1,152.53/1,728.77 = 800.81/x
3. Step 3: Cross multiply
   1,152.53x = 1,728.77 × 800.81
4. Step 4: Simplify right side
   1,152.53x = 1,384,403.66
5. Step 5: Solve for x
   x = 1,384,403.66/1,152.53
6. Step 6: Final answer
   x = 1,201.19