Finding the Fourth Proportional to 1,522.76, 2,101.40 and 824.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.76 : 2,101.40 = 824.12 : x
2. Step 2: Convert to fraction form
   1,522.76/2,101.40 = 824.12/x
3. Step 3: Cross multiply
   1,522.76x = 2,101.40 × 824.12
4. Step 4: Simplify right side
   1,522.76x = 1,731,805.77
5. Step 5: Solve for x
   x = 1,731,805.77/1,522.76
6. Step 6: Final answer
   x = 1,137.28