Finding the Fourth Proportional to 5,644.50, 7,787.61 and 3,656.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.50 : 7,787.61 = 3,656.58 : x
2. Step 2: Convert to fraction form
   5,644.50/7,787.61 = 3,656.58/x
3. Step 3: Cross multiply
   5,644.50x = 7,787.61 × 3,656.58
4. Step 4: Simplify right side
   5,644.50x = 28,476,018.97
5. Step 5: Solve for x
   x = 28,476,018.97/5,644.50
6. Step 6: Final answer
   x = 5,044.91