Finding the Fourth Proportional to 1,522.50, 2,101.05 and 823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.50 : 2,101.05 = 823.88 : x
2. Step 2: Convert to fraction form
   1,522.50/2,101.05 = 823.88/x
3. Step 3: Cross multiply
   1,522.50x = 2,101.05 × 823.88
4. Step 4: Simplify right side
   1,522.50x = 1,731,002.57
5. Step 5: Solve for x
   x = 1,731,002.57/1,522.50
6. Step 6: Final answer
   x = 1,136.95