Finding the Fourth Proportional to 3,776.17, 5,665.27 and 1,584.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.17 : 5,665.27 = 1,584.31 : x
2. Step 2: Convert to fraction form
   3,776.17/5,665.27 = 1,584.31/x
3. Step 3: Cross multiply
   3,776.17x = 5,665.27 × 1,584.31
4. Step 4: Simplify right side
   3,776.17x = 8,975,547.87
5. Step 5: Solve for x
   x = 8,975,547.87/3,776.17
6. Step 6: Final answer
   x = 2,376.89