Finding the Fourth Proportional to 1,099.82, 1,647.57 and 522.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.82 : 1,647.57 = 522.02 : x
2. Step 2: Convert to fraction form
   1,099.82/1,647.57 = 522.02/x
3. Step 3: Cross multiply
   1,099.82x = 1,647.57 × 522.02
4. Step 4: Simplify right side
   1,099.82x = 860,064.49
5. Step 5: Solve for x
   x = 860,064.49/1,099.82
6. Step 6: Final answer
   x = 782.00