Finding the Fourth Proportional to 1,522.13, 2,100.53 and 823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.13 : 2,100.53 = 823.50 : x
2. Step 2: Convert to fraction form
   1,522.13/2,100.53 = 823.50/x
3. Step 3: Cross multiply
   1,522.13x = 2,100.53 × 823.50
4. Step 4: Simplify right side
   1,522.13x = 1,729,788.51
5. Step 5: Solve for x
   x = 1,729,788.51/1,522.13
6. Step 6: Final answer
   x = 1,136.43