Finding the Fourth Proportional to 1,064.16, 1,468.64 and 644.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.16 : 1,468.64 = 644.61 : x
2. Step 2: Convert to fraction form
   1,064.16/1,468.64 = 644.61/x
3. Step 3: Cross multiply
   1,064.16x = 1,468.64 × 644.61
4. Step 4: Simplify right side
   1,064.16x = 946,700.03
5. Step 5: Solve for x
   x = 946,700.03/1,064.16
6. Step 6: Final answer
   x = 889.62