Finding the Fourth Proportional to 1,019.02, 1,406.28 and 576.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.02 : 1,406.28 = 576.91 : x
2. Step 2: Convert to fraction form
   1,019.02/1,406.28 = 576.91/x
3. Step 3: Cross multiply
   1,019.02x = 1,406.28 × 576.91
4. Step 4: Simplify right side
   1,019.02x = 811,293.07
5. Step 5: Solve for x
   x = 811,293.07/1,019.02
6. Step 6: Final answer
   x = 796.15