Finding the Fourth Proportional to 3,456.65, 5,185.72 and 1,116.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456.65 : 5,185.72 = 1,116.80 : x
2. Step 2: Convert to fraction form
   3,456.65/5,185.72 = 1,116.80/x
3. Step 3: Cross multiply
   3,456.65x = 5,185.72 × 1,116.80
4. Step 4: Simplify right side
   3,456.65x = 5,791,383.38
5. Step 5: Solve for x
   x = 5,791,383.38/3,456.65
6. Step 6: Final answer
   x = 1,675.43