Finding the Fourth Proportional to 1,288.24, 1,932.50 and 410.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.24 : 1,932.50 = 410.81 : x
2. Step 2: Convert to fraction form
   1,288.24/1,932.50 = 410.81/x
3. Step 3: Cross multiply
   1,288.24x = 1,932.50 × 410.81
4. Step 4: Simplify right side
   1,288.24x = 793,888.27
5. Step 5: Solve for x
   x = 793,888.27/1,288.24
6. Step 6: Final answer
   x = 616.26