Finding the Fourth Proportional to 3,861.15, 5,785.55 and 3,758.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,861.15 : 5,785.55 = 3,758.64 : x
2. Step 2: Convert to fraction form
   3,861.15/5,785.55 = 3,758.64/x
3. Step 3: Cross multiply
   3,861.15x = 5,785.55 × 3,758.64
4. Step 4: Simplify right side
   3,861.15x = 21,745,780.86
5. Step 5: Solve for x
   x = 21,745,780.86/3,861.15
6. Step 6: Final answer
   x = 5,631.94