Finding the Fourth Proportional to 1,019.53, 1,406.23 and 626.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.53 : 1,406.23 = 626.77 : x
2. Step 2: Convert to fraction form
   1,019.53/1,406.23 = 626.77/x
3. Step 3: Cross multiply
   1,019.53x = 1,406.23 × 626.77
4. Step 4: Simplify right side
   1,019.53x = 881,382.78
5. Step 5: Solve for x
   x = 881,382.78/1,019.53
6. Step 6: Final answer
   x = 864.50