Finding the Fourth Proportional to 1,471.14, 2,029.89 and 947.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,471.14 : 2,029.89 = 947.10 : x
2. Step 2: Convert to fraction form
   1,471.14/2,029.89 = 947.10/x
3. Step 3: Cross multiply
   1,471.14x = 2,029.89 × 947.10
4. Step 4: Simplify right side
   1,471.14x = 1,922,508.82
5. Step 5: Solve for x
   x = 1,922,508.82/1,471.14
6. Step 6: Final answer
   x = 1,306.82