Finding the Fourth Proportional to 1,288.06, 1,932.37 and 410.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.06 : 1,932.37 = 410.61 : x
2. Step 2: Convert to fraction form
   1,288.06/1,932.37 = 410.61/x
3. Step 3: Cross multiply
   1,288.06x = 1,932.37 × 410.61
4. Step 4: Simplify right side
   1,288.06x = 793,450.45
5. Step 5: Solve for x
   x = 793,450.45/1,288.06
6. Step 6: Final answer
   x = 616.00