Finding the Fourth Proportional to 1,298.72, 1,949.06 and 477.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.72 : 1,949.06 = 477.20 : x
2. Step 2: Convert to fraction form
   1,298.72/1,949.06 = 477.20/x
3. Step 3: Cross multiply
   1,298.72x = 1,949.06 × 477.20
4. Step 4: Simplify right side
   1,298.72x = 930,097.50
5. Step 5: Solve for x
   x = 930,097.50/1,298.72
6. Step 6: Final answer
   x = 716.16