Finding the Fourth Proportional to 1,185.90, 1,636.46 and 654.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.90 : 1,636.46 = 654.78 : x
2. Step 2: Convert to fraction form
   1,185.90/1,636.46 = 654.78/x
3. Step 3: Cross multiply
   1,185.90x = 1,636.46 × 654.78
4. Step 4: Simplify right side
   1,185.90x = 1,071,521.08
5. Step 5: Solve for x
   x = 1,071,521.08/1,185.90
6. Step 6: Final answer
   x = 903.55