Finding the Fourth Proportional to 1,288.37, 1,932.56 and 466.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.37 : 1,932.56 = 466.46 : x
2. Step 2: Convert to fraction form
   1,288.37/1,932.56 = 466.46/x
3. Step 3: Cross multiply
   1,288.37x = 1,932.56 × 466.46
4. Step 4: Simplify right side
   1,288.37x = 901,451.69
5. Step 5: Solve for x
   x = 901,451.69/1,288.37
6. Step 6: Final answer
   x = 699.68