Finding the Fourth Proportional to 1,491.65, 2,058.59 and 828.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.65 : 2,058.59 = 828.61 : x
2. Step 2: Convert to fraction form
   1,491.65/2,058.59 = 828.61/x
3. Step 3: Cross multiply
   1,491.65x = 2,058.59 × 828.61
4. Step 4: Simplify right side
   1,491.65x = 1,705,774.43
5. Step 5: Solve for x
   x = 1,705,774.43/1,491.65
6. Step 6: Final answer
   x = 1,143.55