Finding the Fourth Proportional to 1,160.64, 1,601.71 and 636.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.64 : 1,601.71 = 636.67 : x
2. Step 2: Convert to fraction form
   1,160.64/1,601.71 = 636.67/x
3. Step 3: Cross multiply
   1,160.64x = 1,601.71 × 636.67
4. Step 4: Simplify right side
   1,160.64x = 1,019,760.71
5. Step 5: Solve for x
   x = 1,019,760.71/1,160.64
6. Step 6: Final answer
   x = 878.62