Finding the Fourth Proportional to 5,710.77, 7,878.06 and 3,585.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,710.77 : 7,878.06 = 3,585.24 : x
2. Step 2: Convert to fraction form
   5,710.77/7,878.06 = 3,585.24/x
3. Step 3: Cross multiply
   5,710.77x = 7,878.06 × 3,585.24
4. Step 4: Simplify right side
   5,710.77x = 28,244,735.83
5. Step 5: Solve for x
   x = 28,244,735.83/5,710.77
6. Step 6: Final answer
   x = 4,945.87