Finding the Fourth Proportional to 1,151.82, 1,589.34 and 654.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.82 : 1,589.34 = 654.30 : x
2. Step 2: Convert to fraction form
   1,151.82/1,589.34 = 654.30/x
3. Step 3: Cross multiply
   1,151.82x = 1,589.34 × 654.30
4. Step 4: Simplify right side
   1,151.82x = 1,039,905.16
5. Step 5: Solve for x
   x = 1,039,905.16/1,151.82
6. Step 6: Final answer
   x = 902.84