Finding the Fourth Proportional to 1,019.34, 1,529.10 and 288.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.34 : 1,529.10 = 288.93 : x
2. Step 2: Convert to fraction form
   1,019.34/1,529.10 = 288.93/x
3. Step 3: Cross multiply
   1,019.34x = 1,529.10 × 288.93
4. Step 4: Simplify right side
   1,019.34x = 441,802.86
5. Step 5: Solve for x
   x = 441,802.86/1,019.34
6. Step 6: Final answer
   x = 433.42