Finding the Fourth Proportional to 1,522.38, 2,100.88 and 823.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.38 : 2,100.88 = 823.76 : x
2. Step 2: Convert to fraction form
   1,522.38/2,100.88 = 823.76/x
3. Step 3: Cross multiply
   1,522.38x = 2,100.88 × 823.76
4. Step 4: Simplify right side
   1,522.38x = 1,730,620.91
5. Step 5: Solve for x
   x = 1,730,620.91/1,522.38
6. Step 6: Final answer
   x = 1,136.79