Finding the Fourth Proportional to 10,595.80, 14,621.71 and 5,815.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,595.80 : 14,621.71 = 5,815.65 : x
2. Step 2: Convert to fraction form
   10,595.80/14,621.71 = 5,815.65/x
3. Step 3: Cross multiply
   10,595.80x = 14,621.71 × 5,815.65
4. Step 4: Simplify right side
   10,595.80x = 85,034,747.76
5. Step 5: Solve for x
   x = 85,034,747.76/10,595.80
6. Step 6: Final answer
   x = 8,025.33