Finding the Fourth Proportional to 1,974.24, 2,724.71 and 1,642.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.24 : 2,724.71 = 1,642.10 : x
2. Step 2: Convert to fraction form
   1,974.24/2,724.71 = 1,642.10/x
3. Step 3: Cross multiply
   1,974.24x = 2,724.71 × 1,642.10
4. Step 4: Simplify right side
   1,974.24x = 4,474,224.46
5. Step 5: Solve for x
   x = 4,474,224.46/1,974.24
6. Step 6: Final answer
   x = 2,266.30