Finding the Fourth Proportional to 1,002.84, 1,383.30 and 649.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.84 : 1,383.30 = 649.23 : x
2. Step 2: Convert to fraction form
   1,002.84/1,383.30 = 649.23/x
3. Step 3: Cross multiply
   1,002.84x = 1,383.30 × 649.23
4. Step 4: Simplify right side
   1,002.84x = 898,079.86
5. Step 5: Solve for x
   x = 898,079.86/1,002.84
6. Step 6: Final answer
   x = 895.54