Finding the Fourth Proportional to 3,778.05, 5,667.89 and 1,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.05 : 5,667.89 = 1,585.52 : x
2. Step 2: Convert to fraction form
   3,778.05/5,667.89 = 1,585.52/x
3. Step 3: Cross multiply
   3,778.05x = 5,667.89 × 1,585.52
4. Step 4: Simplify right side
   3,778.05x = 8,986,552.95
5. Step 5: Solve for x
   x = 8,986,552.95/3,778.05
6. Step 6: Final answer
   x = 2,378.62