Finding the Fourth Proportional to 5,626.49, 7,763.12 and 3,830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626.49 : 7,763.12 = 3,830.72 : x
2. Step 2: Convert to fraction form
   5,626.49/7,763.12 = 3,830.72/x
3. Step 3: Cross multiply
   5,626.49x = 7,763.12 × 3,830.72
4. Step 4: Simplify right side
   5,626.49x = 29,738,339.05
5. Step 5: Solve for x
   x = 29,738,339.05/5,626.49
6. Step 6: Final answer
   x = 5,285.42