Finding the Fourth Proportional to 1,522.62, 2,101.22 and 824.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.62 : 2,101.22 = 824.00 : x
2. Step 2: Convert to fraction form
   1,522.62/2,101.22 = 824.00/x
3. Step 3: Cross multiply
   1,522.62x = 2,101.22 × 824.00
4. Step 4: Simplify right side
   1,522.62x = 1,731,390.65
5. Step 5: Solve for x
   x = 1,731,390.65/1,522.62
6. Step 6: Final answer
   x = 1,137.11