Finding the Fourth Proportional to 1,292.17, 1,783.61 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.17 : 1,783.61 = 826.42 : x
2. Step 2: Convert to fraction form
   1,292.17/1,783.61 = 826.42/x
3. Step 3: Cross multiply
   1,292.17x = 1,783.61 × 826.42
4. Step 4: Simplify right side
   1,292.17x = 1,474,010.98
5. Step 5: Solve for x
   x = 1,474,010.98/1,292.17
6. Step 6: Final answer
   x = 1,140.73