Finding the Fourth Proportional to 1,061.40, 1,464.23 and 688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.40 : 1,464.23 = 688.50 : x
2. Step 2: Convert to fraction form
   1,061.40/1,464.23 = 688.50/x
3. Step 3: Cross multiply
   1,061.40x = 1,464.23 × 688.50
4. Step 4: Simplify right side
   1,061.40x = 1,008,122.36
5. Step 5: Solve for x
   x = 1,008,122.36/1,061.40
6. Step 6: Final answer
   x = 949.80