Finding the Fourth Proportional to 1,185.50, 1,635.80 and 661.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.50 : 1,635.80 = 661.52 : x
2. Step 2: Convert to fraction form
   1,185.50/1,635.80 = 661.52/x
3. Step 3: Cross multiply
   1,185.50x = 1,635.80 × 661.52
4. Step 4: Simplify right side
   1,185.50x = 1,082,114.42
5. Step 5: Solve for x
   x = 1,082,114.42/1,185.50
6. Step 6: Final answer
   x = 912.79