Finding the Fourth Proportional to 5,779.35, 8,665.38 and 3,585.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,779.35 : 8,665.38 = 3,585.06 : x
2. Step 2: Convert to fraction form
   5,779.35/8,665.38 = 3,585.06/x
3. Step 3: Cross multiply
   5,779.35x = 8,665.38 × 3,585.06
4. Step 4: Simplify right side
   5,779.35x = 31,065,907.22
5. Step 5: Solve for x
   x = 31,065,907.22/5,779.35
6. Step 6: Final answer
   x = 5,375.33