Finding the Fourth Proportional to 1,019.12, 1,406.37 and 553.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.12 : 1,406.37 = 553.37 : x
2. Step 2: Convert to fraction form
   1,019.12/1,406.37 = 553.37/x
3. Step 3: Cross multiply
   1,019.12x = 1,406.37 × 553.37
4. Step 4: Simplify right side
   1,019.12x = 778,235.94
5. Step 5: Solve for x
   x = 778,235.94/1,019.12
6. Step 6: Final answer
   x = 763.64