Finding the Fourth Proportional to 3,776.52, 5,665.08 and 1,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.52 : 5,665.08 = 1,585.50 : x
2. Step 2: Convert to fraction form
   3,776.52/5,665.08 = 1,585.50/x
3. Step 3: Cross multiply
   3,776.52x = 5,665.08 × 1,585.50
4. Step 4: Simplify right side
   3,776.52x = 8,981,984.34
5. Step 5: Solve for x
   x = 8,981,984.34/3,776.52
6. Step 6: Final answer
   x = 2,378.38