Finding the Fourth Proportional to 1,178.18, 1,625.82 and 654.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.18 : 1,625.82 = 654.24 : x
2. Step 2: Convert to fraction form
   1,178.18/1,625.82 = 654.24/x
3. Step 3: Cross multiply
   1,178.18x = 1,625.82 × 654.24
4. Step 4: Simplify right side
   1,178.18x = 1,063,676.48
5. Step 5: Solve for x
   x = 1,063,676.48/1,178.18
6. Step 6: Final answer
   x = 902.82