Finding the Fourth Proportional to 1,014.64, 1,399.56 and 641.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.64 : 1,399.56 = 641.30 : x
2. Step 2: Convert to fraction form
   1,014.64/1,399.56 = 641.30/x
3. Step 3: Cross multiply
   1,014.64x = 1,399.56 × 641.30
4. Step 4: Simplify right side
   1,014.64x = 897,537.83
5. Step 5: Solve for x
   x = 897,537.83/1,014.64
6. Step 6: Final answer
   x = 884.59