Finding the Fourth Proportional to 5,645.34, 7,788.87 and 3,658.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.34 : 7,788.87 = 3,658.23 : x
2. Step 2: Convert to fraction form
   5,645.34/7,788.87 = 3,658.23/x
3. Step 3: Cross multiply
   5,645.34x = 7,788.87 × 3,658.23
4. Step 4: Simplify right side
   5,645.34x = 28,493,477.90
5. Step 5: Solve for x
   x = 28,493,477.90/5,645.34
6. Step 6: Final answer
   x = 5,047.26