Finding the Fourth Proportional to 1,422.30, 1,962.54 and 824.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.30 : 1,962.54 = 824.68 : x
2. Step 2: Convert to fraction form
   1,422.30/1,962.54 = 824.68/x
3. Step 3: Cross multiply
   1,422.30x = 1,962.54 × 824.68
4. Step 4: Simplify right side
   1,422.30x = 1,618,457.67
5. Step 5: Solve for x
   x = 1,618,457.67/1,422.30
6. Step 6: Final answer
   x = 1,137.92