Finding the Fourth Proportional to 1,422.07, 1,962.71 and 824.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.07 : 1,962.71 = 824.94 : x
2. Step 2: Convert to fraction form
   1,422.07/1,962.71 = 824.94/x
3. Step 3: Cross multiply
   1,422.07x = 1,962.71 × 824.94
4. Step 4: Simplify right side
   1,422.07x = 1,619,123.93
5. Step 5: Solve for x
   x = 1,619,123.93/1,422.07
6. Step 6: Final answer
   x = 1,138.57