Finding the Fourth Proportional to 1,019.69, 1,529.61 and 289.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.69 : 1,529.61 = 289.32 : x
2. Step 2: Convert to fraction form
   1,019.69/1,529.61 = 289.32/x
3. Step 3: Cross multiply
   1,019.69x = 1,529.61 × 289.32
4. Step 4: Simplify right side
   1,019.69x = 442,546.77
5. Step 5: Solve for x
   x = 442,546.77/1,019.69
6. Step 6: Final answer
   x = 434.00