Finding the Fourth Proportional to 1,019.42, 1,406.81 and 553.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.42 : 1,406.81 = 553.67 : x
2. Step 2: Convert to fraction form
   1,019.42/1,406.81 = 553.67/x
3. Step 3: Cross multiply
   1,019.42x = 1,406.81 × 553.67
4. Step 4: Simplify right side
   1,019.42x = 778,905.72
5. Step 5: Solve for x
   x = 778,905.72/1,019.42
6. Step 6: Final answer
   x = 764.07