Finding the Fourth Proportional to 1,152.63, 1,727.20 and 535.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.63 : 1,727.20 = 535.61 : x
2. Step 2: Convert to fraction form
   1,152.63/1,727.20 = 535.61/x
3. Step 3: Cross multiply
   1,152.63x = 1,727.20 × 535.61
4. Step 4: Simplify right side
   1,152.63x = 925,110.58
5. Step 5: Solve for x
   x = 925,110.58/1,152.63
6. Step 6: Final answer
   x = 802.61