Finding the Fourth Proportional to 1,412.56, 1,948.62 and 946

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.56 : 1,948.62 = 946 : x
2. Step 2: Convert to fraction form
   1,412.56/1,948.62 = 946/x
3. Step 3: Cross multiply
   1,412.56x = 1,948.62 × 946
4. Step 4: Simplify right side
   1,412.56x = 1,843,394.52
5. Step 5: Solve for x
   x = 1,843,394.52/1,412.56
6. Step 6: Final answer
   x = 1,305.00