Finding the Fourth Proportional to 1,019.19, 1,406.38 and 577.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.19 : 1,406.38 = 577.01 : x
2. Step 2: Convert to fraction form
   1,019.19/1,406.38 = 577.01/x
3. Step 3: Cross multiply
   1,019.19x = 1,406.38 × 577.01
4. Step 4: Simplify right side
   1,019.19x = 811,495.32
5. Step 5: Solve for x
   x = 811,495.32/1,019.19
6. Step 6: Final answer
   x = 796.22