Finding the Fourth Proportional to 1,178.34, 1,626.20 and 654.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.34 : 1,626.20 = 654.45 : x
2. Step 2: Convert to fraction form
   1,178.34/1,626.20 = 654.45/x
3. Step 3: Cross multiply
   1,178.34x = 1,626.20 × 654.45
4. Step 4: Simplify right side
   1,178.34x = 1,064,266.59
5. Step 5: Solve for x
   x = 1,064,266.59/1,178.34
6. Step 6: Final answer
   x = 903.19