Finding the Fourth Proportional to 1,288.72, 1,932.18 and 410.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.72 : 1,932.18 = 410.93 : x
2. Step 2: Convert to fraction form
   1,288.72/1,932.18 = 410.93/x
3. Step 3: Cross multiply
   1,288.72x = 1,932.18 × 410.93
4. Step 4: Simplify right side
   1,288.72x = 793,990.73
5. Step 5: Solve for x
   x = 793,990.73/1,288.72
6. Step 6: Final answer
   x = 616.11