Finding the Fourth Proportional to 1,178.53, 1,626.42 and 654.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.53 : 1,626.42 = 654.55 : x
2. Step 2: Convert to fraction form
   1,178.53/1,626.42 = 654.55/x
3. Step 3: Cross multiply
   1,178.53x = 1,626.42 × 654.55
4. Step 4: Simplify right side
   1,178.53x = 1,064,573.21
5. Step 5: Solve for x
   x = 1,064,573.21/1,178.53
6. Step 6: Final answer
   x = 903.31