Finding the Fourth Proportional to 1,298.72, 1,948.18 and 433.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.72 : 1,948.18 = 433.03 : x
2. Step 2: Convert to fraction form
   1,298.72/1,948.18 = 433.03/x
3. Step 3: Cross multiply
   1,298.72x = 1,948.18 × 433.03
4. Step 4: Simplify right side
   1,298.72x = 843,622.82
5. Step 5: Solve for x
   x = 843,622.82/1,298.72
6. Step 6: Final answer
   x = 649.58