Finding the Fourth Proportional to 1,522.64, 2,099.31 and 1,024.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.64 : 2,099.31 = 1,024.22 : x
2. Step 2: Convert to fraction form
   1,522.64/2,099.31 = 1,024.22/x
3. Step 3: Cross multiply
   1,522.64x = 2,099.31 × 1,024.22
4. Step 4: Simplify right side
   1,522.64x = 2,150,155.29
5. Step 5: Solve for x
   x = 2,150,155.29/1,522.64
6. Step 6: Final answer
   x = 1,412.12