Finding the Fourth Proportional to 1,019.58, 1,407.02 and 553.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.58 : 1,407.02 = 553.83 : x
2. Step 2: Convert to fraction form
   1,019.58/1,407.02 = 553.83/x
3. Step 3: Cross multiply
   1,019.58x = 1,407.02 × 553.83
4. Step 4: Simplify right side
   1,019.58x = 779,249.89
5. Step 5: Solve for x
   x = 779,249.89/1,019.58
6. Step 6: Final answer
   x = 764.29