Finding the Fourth Proportional to 1,470.89, 2,029.25 and 947.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.89 : 2,029.25 = 947.23 : x
2. Step 2: Convert to fraction form
   1,470.89/2,029.25 = 947.23/x
3. Step 3: Cross multiply
   1,470.89x = 2,029.25 × 947.23
4. Step 4: Simplify right side
   1,470.89x = 1,922,163.77
5. Step 5: Solve for x
   x = 1,922,163.77/1,470.89
6. Step 6: Final answer
   x = 1,306.80