Finding the Fourth Proportional to 1,298.34, 1,948.31 and 946.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.34 : 1,948.31 = 946.29 : x
2. Step 2: Convert to fraction form
   1,298.34/1,948.31 = 946.29/x
3. Step 3: Cross multiply
   1,298.34x = 1,948.31 × 946.29
4. Step 4: Simplify right side
   1,298.34x = 1,843,666.27
5. Step 5: Solve for x
   x = 1,843,666.27/1,298.34
6. Step 6: Final answer
   x = 1,420.02