Finding the Fourth Proportional to 10,422.69, 14,383.17 and 5,706.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.69 : 14,383.17 = 5,706.98 : x
2. Step 2: Convert to fraction form
   10,422.69/14,383.17 = 5,706.98/x
3. Step 3: Cross multiply
   10,422.69x = 14,383.17 × 5,706.98
4. Step 4: Simplify right side
   10,422.69x = 82,084,413.01
5. Step 5: Solve for x
   x = 82,084,413.01/10,422.69
6. Step 6: Final answer
   x = 7,875.55