Finding the Fourth Proportional to 1,019.41, 1,406.78 and 553.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.41 : 1,406.78 = 553.66 : x
2. Step 2: Convert to fraction form
   1,019.41/1,406.78 = 553.66/x
3. Step 3: Cross multiply
   1,019.41x = 1,406.78 × 553.66
4. Step 4: Simplify right side
   1,019.41x = 778,870.78
5. Step 5: Solve for x
   x = 778,870.78/1,019.41
6. Step 6: Final answer
   x = 764.04