Finding the Fourth Proportional to 4,709.82, 6,499.42 and 2,585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4,709.82 : 6,499.42 = 2,585.34 : x
2. Step 2: Convert to fraction form
   4,709.82/6,499.42 = 2,585.34/x
3. Step 3: Cross multiply
   4,709.82x = 6,499.42 × 2,585.34
4. Step 4: Simplify right side
   4,709.82x = 16,803,210.50
5. Step 5: Solve for x
   x = 16,803,210.50/4,709.82
6. Step 6: Final answer
   x = 3,567.70