Finding the Fourth Proportional to 1,185.52, 1,635.98 and 743.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.52 : 1,635.98 = 743.66 : x
2. Step 2: Convert to fraction form
   1,185.52/1,635.98 = 743.66/x
3. Step 3: Cross multiply
   1,185.52x = 1,635.98 × 743.66
4. Step 4: Simplify right side
   1,185.52x = 1,216,612.89
5. Step 5: Solve for x
   x = 1,216,612.89/1,185.52
6. Step 6: Final answer
   x = 1,026.23