Finding the Fourth Proportional to 1,185.42, 1,776.69 and 454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.42 : 1,776.69 = 454.50 : x
2. Step 2: Convert to fraction form
   1,185.42/1,776.69 = 454.50/x
3. Step 3: Cross multiply
   1,185.42x = 1,776.69 × 454.50
4. Step 4: Simplify right side
   1,185.42x = 807,505.61
5. Step 5: Solve for x
   x = 807,505.61/1,185.42
6. Step 6: Final answer
   x = 681.20