Finding the Fourth Proportional to 1,100.18, 1,649.42 and 522.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.18 : 1,649.42 = 522.38 : x
2. Step 2: Convert to fraction form
   1,100.18/1,649.42 = 522.38/x
3. Step 3: Cross multiply
   1,100.18x = 1,649.42 × 522.38
4. Step 4: Simplify right side
   1,100.18x = 861,624.02
5. Step 5: Solve for x
   x = 861,624.02/1,100.18
6. Step 6: Final answer
   x = 783.17