Finding the Fourth Proportional to 1,522.77, 2,101.43 and 824.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.77 : 2,101.43 = 824.14 : x
2. Step 2: Convert to fraction form
   1,522.77/2,101.43 = 824.14/x
3. Step 3: Cross multiply
   1,522.77x = 2,101.43 × 824.14
4. Step 4: Simplify right side
   1,522.77x = 1,731,868.40
5. Step 5: Solve for x
   x = 1,731,868.40/1,522.77
6. Step 6: Final answer
   x = 1,137.32