Finding the Fourth Proportional to 2,592.66, 3,577.05 and 1,648.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.66 : 3,577.05 = 1,648.20 : x
2. Step 2: Convert to fraction form
   2,592.66/3,577.05 = 1,648.20/x
3. Step 3: Cross multiply
   2,592.66x = 3,577.05 × 1,648.20
4. Step 4: Simplify right side
   2,592.66x = 5,895,693.81
5. Step 5: Solve for x
   x = 5,895,693.81/2,592.66
6. Step 6: Final answer
   x = 2,273.99