Finding the Fourth Proportional to 2,377.56, 3,566.52 and 646.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.56 : 3,566.52 = 646.16 : x
2. Step 2: Convert to fraction form
   2,377.56/3,566.52 = 646.16/x
3. Step 3: Cross multiply
   2,377.56x = 3,566.52 × 646.16
4. Step 4: Simplify right side
   2,377.56x = 2,304,542.56
5. Step 5: Solve for x
   x = 2,304,542.56/2,377.56
6. Step 6: Final answer
   x = 969.29