Finding the Fourth Proportional to 1,491.90, 2,058.72 and 828.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.90 : 2,058.72 = 828.86 : x
2. Step 2: Convert to fraction form
   1,491.90/2,058.72 = 828.86/x
3. Step 3: Cross multiply
   1,491.90x = 2,058.72 × 828.86
4. Step 4: Simplify right side
   1,491.90x = 1,706,380.37
5. Step 5: Solve for x
   x = 1,706,380.37/1,491.90
6. Step 6: Final answer
   x = 1,143.76