Finding the Fourth Proportional to 2,377.69, 3,566.53 and 646.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 3,566.53 = 646.31 : x
2. Step 2: Convert to fraction form
   2,377.69/3,566.53 = 646.31/x
3. Step 3: Cross multiply
   2,377.69x = 3,566.53 × 646.31
4. Step 4: Simplify right side
   2,377.69x = 2,305,093.73
5. Step 5: Solve for x
   x = 2,305,093.73/2,377.69
6. Step 6: Final answer
   x = 969.47