Finding the Fourth Proportional to 1,470.42, 2,028.76 and 946.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.42 : 2,028.76 = 946.76 : x
2. Step 2: Convert to fraction form
   1,470.42/2,028.76 = 946.76/x
3. Step 3: Cross multiply
   1,470.42x = 2,028.76 × 946.76
4. Step 4: Simplify right side
   1,470.42x = 1,920,736.31
5. Step 5: Solve for x
   x = 1,920,736.31/1,470.42
6. Step 6: Final answer
   x = 1,306.25