Finding the Fourth Proportional to 10,122.39, 13,969.55 and 5,646.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.39 : 13,969.55 = 5,646.82 : x
2. Step 2: Convert to fraction form
   10,122.39/13,969.55 = 5,646.82/x
3. Step 3: Cross multiply
   10,122.39x = 13,969.55 × 5,646.82
4. Step 4: Simplify right side
   10,122.39x = 78,883,479.53
5. Step 5: Solve for x
   x = 78,883,479.53/10,122.39
6. Step 6: Final answer
   x = 7,792.97