Finding the Fourth Proportional to 1,185.14, 1,635.52 and 654.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.14 : 1,635.52 = 654.05 : x
2. Step 2: Convert to fraction form
   1,185.14/1,635.52 = 654.05/x
3. Step 3: Cross multiply
   1,185.14x = 1,635.52 × 654.05
4. Step 4: Simplify right side
   1,185.14x = 1,069,711.86
5. Step 5: Solve for x
   x = 1,069,711.86/1,185.14
6. Step 6: Final answer
   x = 902.60