Finding the Fourth Proportional to 1,185.86, 1,636.50 and 654.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.86 : 1,636.50 = 654.77 : x
2. Step 2: Convert to fraction form
   1,185.86/1,636.50 = 654.77/x
3. Step 3: Cross multiply
   1,185.86x = 1,636.50 × 654.77
4. Step 4: Simplify right side
   1,185.86x = 1,071,522.92
5. Step 5: Solve for x
   x = 1,071,522.92/1,185.86
6. Step 6: Final answer
   x = 903.59