Finding the Fourth Proportional to 1,288.38, 1,931.69 and 410.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.38 : 1,931.69 = 410.62 : x
2. Step 2: Convert to fraction form
   1,288.38/1,931.69 = 410.62/x
3. Step 3: Cross multiply
   1,288.38x = 1,931.69 × 410.62
4. Step 4: Simplify right side
   1,288.38x = 793,180.89
5. Step 5: Solve for x
   x = 793,180.89/1,288.38
6. Step 6: Final answer
   x = 615.64