Finding the Fourth Proportional to 1,470.26, 2,028.86 and 840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.26 : 2,028.86 = 840.82 : x
2. Step 2: Convert to fraction form
   1,470.26/2,028.86 = 840.82/x
3. Step 3: Cross multiply
   1,470.26x = 2,028.86 × 840.82
4. Step 4: Simplify right side
   1,470.26x = 1,705,891.72
5. Step 5: Solve for x
   x = 1,705,891.72/1,470.26
6. Step 6: Final answer
   x = 1,160.27