Finding the Fourth Proportional to 1,822.68, 2,736.54 and 1,002.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.68 : 2,736.54 = 1,002.24 : x
2. Step 2: Convert to fraction form
   1,822.68/2,736.54 = 1,002.24/x
3. Step 3: Cross multiply
   1,822.68x = 2,736.54 × 1,002.24
4. Step 4: Simplify right side
   1,822.68x = 2,742,669.85
5. Step 5: Solve for x
   x = 2,742,669.85/1,822.68
6. Step 6: Final answer
   x = 1,504.75