Finding the Fourth Proportional to 3,830.72, 5,288.61 and 2,506.73

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.72 : 5,288.61 = 2,506.73 : x
2. Step 2: Convert to fraction form
   3,830.72/5,288.61 = 2,506.73/x
3. Step 3: Cross multiply
   3,830.72x = 5,288.61 × 2,506.73
4. Step 4: Simplify right side
   3,830.72x = 13,257,124.30
5. Step 5: Solve for x
   x = 13,257,124.30/3,830.72
6. Step 6: Final answer
   x = 3,460.74