Finding the Fourth Proportional to 1,185.50, 1,635.27 and 765.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.50 : 1,635.27 = 765.18 : x
2. Step 2: Convert to fraction form
   1,185.50/1,635.27 = 765.18/x
3. Step 3: Cross multiply
   1,185.50x = 1,635.27 × 765.18
4. Step 4: Simplify right side
   1,185.50x = 1,251,275.90
5. Step 5: Solve for x
   x = 1,251,275.90/1,185.50
6. Step 6: Final answer
   x = 1,055.48