Finding the Fourth Proportional to 1,648.42, 2,472.05 and 478.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.42 : 2,472.05 = 478.10 : x
2. Step 2: Convert to fraction form
   1,648.42/2,472.05 = 478.10/x
3. Step 3: Cross multiply
   1,648.42x = 2,472.05 × 478.10
4. Step 4: Simplify right side
   1,648.42x = 1,181,894.48
5. Step 5: Solve for x
   x = 1,181,894.48/1,648.42
6. Step 6: Final answer
   x = 716.99