Finding the Fourth Proportional to 1,064.61, 1,469.63 and 687.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.61 : 1,469.63 = 687.05 : x
2. Step 2: Convert to fraction form
   1,064.61/1,469.63 = 687.05/x
3. Step 3: Cross multiply
   1,064.61x = 1,469.63 × 687.05
4. Step 4: Simplify right side
   1,064.61x = 1,009,709.29
5. Step 5: Solve for x
   x = 1,009,709.29/1,064.61
6. Step 6: Final answer
   x = 948.43