Finding the Fourth Proportional to 5,582.59, 7,707.10 and 3,799.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,582.59 : 7,707.10 = 3,799.67 : x
2. Step 2: Convert to fraction form
   5,582.59/7,707.10 = 3,799.67/x
3. Step 3: Cross multiply
   5,582.59x = 7,707.10 × 3,799.67
4. Step 4: Simplify right side
   5,582.59x = 29,284,446.43
5. Step 5: Solve for x
   x = 29,284,446.43/5,582.59
6. Step 6: Final answer
   x = 5,245.68