Finding the Fourth Proportional to 1,422.36, 1,962.72 and 824.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.36 : 1,962.72 = 824.76 : x
2. Step 2: Convert to fraction form
   1,422.36/1,962.72 = 824.76/x
3. Step 3: Cross multiply
   1,422.36x = 1,962.72 × 824.76
4. Step 4: Simplify right side
   1,422.36x = 1,618,772.95
5. Step 5: Solve for x
   x = 1,618,772.95/1,422.36
6. Step 6: Final answer
   x = 1,138.09