Finding the Fourth Proportional to 5,815.60, 8,024.60 and 3,826.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,815.60 : 8,024.60 = 3,826.96 : x
2. Step 2: Convert to fraction form
   5,815.60/8,024.60 = 3,826.96/x
3. Step 3: Cross multiply
   5,815.60x = 8,024.60 × 3,826.96
4. Step 4: Simplify right side
   5,815.60x = 30,709,823.22
5. Step 5: Solve for x
   x = 30,709,823.22/5,815.60
6. Step 6: Final answer
   x = 5,280.59