Finding the Fourth Proportional to 10,595.37, 14,621.10 and 5,815.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,595.37 : 14,621.10 = 5,815.20 : x
2. Step 2: Convert to fraction form
   10,595.37/14,621.10 = 5,815.20/x
3. Step 3: Cross multiply
   10,595.37x = 14,621.10 × 5,815.20
4. Step 4: Simplify right side
   10,595.37x = 85,024,620.72
5. Step 5: Solve for x
   x = 85,024,620.72/10,595.37
6. Step 6: Final answer
   x = 8,024.70