Finding the Fourth Proportional to 3,776.85, 5,667.50 and 1,585.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.85 : 5,667.50 = 1,585.41 : x
2. Step 2: Convert to fraction form
   3,776.85/5,667.50 = 1,585.41/x
3. Step 3: Cross multiply
   3,776.85x = 5,667.50 × 1,585.41
4. Step 4: Simplify right side
   3,776.85x = 8,985,303.25
5. Step 5: Solve for x
   x = 8,985,303.25/3,776.85
6. Step 6: Final answer
   x = 2,379.05