Finding the Fourth Proportional to 2,642.72, 3,646.71 and 1,580.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.72 : 3,646.71 = 1,580.28 : x
2. Step 2: Convert to fraction form
   2,642.72/3,646.71 = 1,580.28/x
3. Step 3: Cross multiply
   2,642.72x = 3,646.71 × 1,580.28
4. Step 4: Simplify right side
   2,642.72x = 5,762,822.88
5. Step 5: Solve for x
   x = 5,762,822.88/2,642.72
6. Step 6: Final answer
   x = 2,180.64