Finding the Fourth Proportional to 1,288.32, 1,931.31 and 466.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.32 : 1,931.31 = 466.02 : x
2. Step 2: Convert to fraction form
   1,288.32/1,931.31 = 466.02/x
3. Step 3: Cross multiply
   1,288.32x = 1,931.31 × 466.02
4. Step 4: Simplify right side
   1,288.32x = 900,029.09
5. Step 5: Solve for x
   x = 900,029.09/1,288.32
6. Step 6: Final answer
   x = 698.61