Finding the Fourth Proportional to 1,522.41, 2,100.93 and 823.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.41 : 2,100.93 = 823.78 : x
2. Step 2: Convert to fraction form
   1,522.41/2,100.93 = 823.78/x
3. Step 3: Cross multiply
   1,522.41x = 2,100.93 × 823.78
4. Step 4: Simplify right side
   1,522.41x = 1,730,703.65
5. Step 5: Solve for x
   x = 1,730,703.65/1,522.41
6. Step 6: Final answer
   x = 1,136.82