Finding the Fourth Proportional to 1,002.17, 1,383.74 and 648.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.17 : 1,383.74 = 648.30 : x
2. Step 2: Convert to fraction form
   1,002.17/1,383.74 = 648.30/x
3. Step 3: Cross multiply
   1,002.17x = 1,383.74 × 648.30
4. Step 4: Simplify right side
   1,002.17x = 897,075.40
5. Step 5: Solve for x
   x = 897,075.40/1,002.17
6. Step 6: Final answer
   x = 895.14