Finding the Fourth Proportional to 1,422.25, 1,962.06 and 832.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.25 : 1,962.06 = 832.53 : x
2. Step 2: Convert to fraction form
   1,422.25/1,962.06 = 832.53/x
3. Step 3: Cross multiply
   1,422.25x = 1,962.06 × 832.53
4. Step 4: Simplify right side
   1,422.25x = 1,633,473.81
5. Step 5: Solve for x
   x = 1,633,473.81/1,422.25
6. Step 6: Final answer
   x = 1,148.51