Finding the Fourth Proportional to 1,100.16, 1,648.64 and 522.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.16 : 1,648.64 = 522.24 : x
2. Step 2: Convert to fraction form
   1,100.16/1,648.64 = 522.24/x
3. Step 3: Cross multiply
   1,100.16x = 1,648.64 × 522.24
4. Step 4: Simplify right side
   1,100.16x = 860,985.75
5. Step 5: Solve for x
   x = 860,985.75/1,100.16
6. Step 6: Final answer
   x = 782.60