Finding the Fourth Proportional to 1,298.15, 1,792.10 and 826.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.15 : 1,792.10 = 826.52 : x
2. Step 2: Convert to fraction form
   1,298.15/1,792.10 = 826.52/x
3. Step 3: Cross multiply
   1,298.15x = 1,792.10 × 826.52
4. Step 4: Simplify right side
   1,298.15x = 1,481,206.49
5. Step 5: Solve for x
   x = 1,481,206.49/1,298.15
6. Step 6: Final answer
   x = 1,141.01