Finding the Fourth Proportional to 1,300.40, 1,948.55 and 477.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.40 : 1,948.55 = 477.54 : x
2. Step 2: Convert to fraction form
   1,300.40/1,948.55 = 477.54/x
3. Step 3: Cross multiply
   1,300.40x = 1,948.55 × 477.54
4. Step 4: Simplify right side
   1,300.40x = 930,509.37
5. Step 5: Solve for x
   x = 930,509.37/1,300.40
6. Step 6: Final answer
   x = 715.56