Finding the Fourth Proportional to 1,491.78, 2,058.65 and 828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.78 : 2,058.65 = 828.69 : x
2. Step 2: Convert to fraction form
   1,491.78/2,058.65 = 828.69/x
3. Step 3: Cross multiply
   1,491.78x = 2,058.65 × 828.69
4. Step 4: Simplify right side
   1,491.78x = 1,705,978.53
5. Step 5: Solve for x
   x = 1,705,978.53/1,491.78
6. Step 6: Final answer
   x = 1,143.59