Finding the Fourth Proportional to 1,456.92, 2,189.78 and 947.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.92 : 2,189.78 = 947.16 : x
2. Step 2: Convert to fraction form
   1,456.92/2,189.78 = 947.16/x
3. Step 3: Cross multiply
   1,456.92x = 2,189.78 × 947.16
4. Step 4: Simplify right side
   1,456.92x = 2,074,072.02
5. Step 5: Solve for x
   x = 2,074,072.02/1,456.92
6. Step 6: Final answer
   x = 1,423.60