Finding the Fourth Proportional to 1,185.91, 1,636.41 and 654.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.91 : 1,636.41 = 654.77 : x
2. Step 2: Convert to fraction form
   1,185.91/1,636.41 = 654.77/x
3. Step 3: Cross multiply
   1,185.91x = 1,636.41 × 654.77
4. Step 4: Simplify right side
   1,185.91x = 1,071,472.18
5. Step 5: Solve for x
   x = 1,071,472.18/1,185.91
6. Step 6: Final answer
   x = 903.51