Finding the Fourth Proportional to 5,112.29, 7,667.52 and 1,413.66

Step by Step Solution

1. Step 1: Write the proportion equation
   5,112.29 : 7,667.52 = 1,413.66 : x
2. Step 2: Convert to fraction form
   5,112.29/7,667.52 = 1,413.66/x
3. Step 3: Cross multiply
   5,112.29x = 7,667.52 × 1,413.66
4. Step 4: Simplify right side
   5,112.29x = 10,839,266.32
5. Step 5: Solve for x
   x = 10,839,266.32/5,112.29
6. Step 6: Final answer
   x = 2,120.24