Finding the Fourth Proportional to 5,690.38, 7,856.59 and 3,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,690.38 : 7,856.59 = 3,566.78 : x
2. Step 2: Convert to fraction form
   5,690.38/7,856.59 = 3,566.78/x
3. Step 3: Cross multiply
   5,690.38x = 7,856.59 × 3,566.78
4. Step 4: Simplify right side
   5,690.38x = 28,022,728.08
5. Step 5: Solve for x
   x = 28,022,728.08/5,690.38
6. Step 6: Final answer
   x = 4,924.58