Finding the Fourth Proportional to 1,019.16, 1,406.61 and 626.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.16 : 1,406.61 = 626.22 : x
2. Step 2: Convert to fraction form
   1,019.16/1,406.61 = 626.22/x
3. Step 3: Cross multiply
   1,019.16x = 1,406.61 × 626.22
4. Step 4: Simplify right side
   1,019.16x = 880,847.31
5. Step 5: Solve for x
   x = 880,847.31/1,019.16
6. Step 6: Final answer
   x = 864.29