Finding the Fourth Proportional to 3,407.82, 5,111.71 and 942.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,407.82 : 5,111.71 = 942.63 : x
2. Step 2: Convert to fraction form
   3,407.82/5,111.71 = 942.63/x
3. Step 3: Cross multiply
   3,407.82x = 5,111.71 × 942.63
4. Step 4: Simplify right side
   3,407.82x = 4,818,451.20
5. Step 5: Solve for x
   x = 4,818,451.20/3,407.82
6. Step 6: Final answer
   x = 1,413.94