Finding the Fourth Proportional to 1,016.42, 1,522.49 and 649.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.42 : 1,522.49 = 649.34 : x
2. Step 2: Convert to fraction form
   1,016.42/1,522.49 = 649.34/x
3. Step 3: Cross multiply
   1,016.42x = 1,522.49 × 649.34
4. Step 4: Simplify right side
   1,016.42x = 988,607.67
5. Step 5: Solve for x
   x = 988,607.67/1,016.42
6. Step 6: Final answer
   x = 972.64