Finding the Fourth Proportional to 1,422.50, 1,963.06 and 832.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.50 : 1,963.06 = 832.82 : x
2. Step 2: Convert to fraction form
   1,422.50/1,963.06 = 832.82/x
3. Step 3: Cross multiply
   1,422.50x = 1,963.06 × 832.82
4. Step 4: Simplify right side
   1,422.50x = 1,634,875.63
5. Step 5: Solve for x
   x = 1,634,875.63/1,422.50
6. Step 6: Final answer
   x = 1,149.30