Finding the Fourth Proportional to 1,152.77, 1,728.17 and 536.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.77 : 1,728.17 = 536.15 : x
2. Step 2: Convert to fraction form
   1,152.77/1,728.17 = 536.15/x
3. Step 3: Cross multiply
   1,152.77x = 1,728.17 × 536.15
4. Step 4: Simplify right side
   1,152.77x = 926,555.66
5. Step 5: Solve for x
   x = 926,555.66/1,152.77
6. Step 6: Final answer
   x = 803.76