Finding the Fourth Proportional to 1,185.16, 1,635.50 and 654.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.16 : 1,635.50 = 654.09 : x
2. Step 2: Convert to fraction form
   1,185.16/1,635.50 = 654.09/x
3. Step 3: Cross multiply
   1,185.16x = 1,635.50 × 654.09
4. Step 4: Simplify right side
   1,185.16x = 1,069,758.78
5. Step 5: Solve for x
   x = 1,069,758.78/1,185.16
6. Step 6: Final answer
   x = 902.63