Finding the Fourth Proportional to 2,642.81, 3,644.56 and 1,580.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.81 : 3,644.56 = 1,580.40 : x
2. Step 2: Convert to fraction form
   2,642.81/3,644.56 = 1,580.40/x
3. Step 3: Cross multiply
   2,642.81x = 3,644.56 × 1,580.40
4. Step 4: Simplify right side
   2,642.81x = 5,759,877.41
5. Step 5: Solve for x
   x = 5,759,877.41/2,642.81
6. Step 6: Final answer
   x = 2,179.45