Finding the Fourth Proportional to 10,146.39, 13,999.23 and 5,669.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.39 : 13,999.23 = 5,669.65 : x
2. Step 2: Convert to fraction form
   10,146.39/13,999.23 = 5,669.65/x
3. Step 3: Cross multiply
   10,146.39x = 13,999.23 × 5,669.65
4. Step 4: Simplify right side
   10,146.39x = 79,370,673.12
5. Step 5: Solve for x
   x = 79,370,673.12/10,146.39
6. Step 6: Final answer
   x = 7,822.55