Finding the Fourth Proportional to 5,627.34, 7,758.45 and 3,855.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,627.34 : 7,758.45 = 3,855.78 : x
2. Step 2: Convert to fraction form
   5,627.34/7,758.45 = 3,855.78/x
3. Step 3: Cross multiply
   5,627.34x = 7,758.45 × 3,855.78
4. Step 4: Simplify right side
   5,627.34x = 29,914,876.34
5. Step 5: Solve for x
   x = 29,914,876.34/5,627.34
6. Step 6: Final answer
   x = 5,315.99