Finding the Fourth Proportional to 10,345.35, 14,277.29 and 5,869.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.35 : 14,277.29 = 5,869.14 : x
2. Step 2: Convert to fraction form
   10,345.35/14,277.29 = 5,869.14/x
3. Step 3: Cross multiply
   10,345.35x = 14,277.29 × 5,869.14
4. Step 4: Simplify right side
   10,345.35x = 83,795,413.83
5. Step 5: Solve for x
   x = 83,795,413.83/10,345.35
6. Step 6: Final answer
   x = 8,099.81