Finding the Fourth Proportional to 1,178.64, 1,626.69 and 654.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.64 : 1,626.69 = 654.72 : x
2. Step 2: Convert to fraction form
   1,178.64/1,626.69 = 654.72/x
3. Step 3: Cross multiply
   1,178.64x = 1,626.69 × 654.72
4. Step 4: Simplify right side
   1,178.64x = 1,065,026.48
5. Step 5: Solve for x
   x = 1,065,026.48/1,178.64
6. Step 6: Final answer
   x = 903.61