Finding the Fourth Proportional to 1,059.33, 1,460.52 and 822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.33 : 1,460.52 = 822.88 : x
2. Step 2: Convert to fraction form
   1,059.33/1,460.52 = 822.88/x
3. Step 3: Cross multiply
   1,059.33x = 1,460.52 × 822.88
4. Step 4: Simplify right side
   1,059.33x = 1,201,829.05
5. Step 5: Solve for x
   x = 1,201,829.05/1,059.33
6. Step 6: Final answer
   x = 1,134.52