Finding the Fourth Proportional to 1,019.01, 1,406.01 and 576.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.01 : 1,406.01 = 576.81 : x
2. Step 2: Convert to fraction form
   1,019.01/1,406.01 = 576.81/x
3. Step 3: Cross multiply
   1,019.01x = 1,406.01 × 576.81
4. Step 4: Simplify right side
   1,019.01x = 811,000.63
5. Step 5: Solve for x
   x = 811,000.63/1,019.01
6. Step 6: Final answer
   x = 795.87