Finding the Fourth Proportional to 1,522.63, 2,101.24 and 824.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.63 : 2,101.24 = 824.01 : x
2. Step 2: Convert to fraction form
   1,522.63/2,101.24 = 824.01/x
3. Step 3: Cross multiply
   1,522.63x = 2,101.24 × 824.01
4. Step 4: Simplify right side
   1,522.63x = 1,731,432.27
5. Step 5: Solve for x
   x = 1,731,432.27/1,522.63
6. Step 6: Final answer
   x = 1,137.13