Finding the Fourth Proportional to 1,654.32, 2,282.78 and 946.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654.32 : 2,282.78 = 946.10 : x
2. Step 2: Convert to fraction form
   1,654.32/2,282.78 = 946.10/x
3. Step 3: Cross multiply
   1,654.32x = 2,282.78 × 946.10
4. Step 4: Simplify right side
   1,654.32x = 2,159,738.16
5. Step 5: Solve for x
   x = 2,159,738.16/1,654.32
6. Step 6: Final answer
   x = 1,305.51