Finding the Fourth Proportional to 5,644.58, 7,784.42 and 3,653.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.58 : 7,784.42 = 3,653.06 : x
2. Step 2: Convert to fraction form
   5,644.58/7,784.42 = 3,653.06/x
3. Step 3: Cross multiply
   5,644.58x = 7,784.42 × 3,653.06
4. Step 4: Simplify right side
   5,644.58x = 28,436,953.33
5. Step 5: Solve for x
   x = 28,436,953.33/5,644.58
6. Step 6: Final answer
   x = 5,037.92