Finding the Fourth Proportional to 10,146.30, 13,998.78 and 5,669.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.30 : 13,998.78 = 5,669.46 : x
2. Step 2: Convert to fraction form
   10,146.30/13,998.78 = 5,669.46/x
3. Step 3: Cross multiply
   10,146.30x = 13,998.78 × 5,669.46
4. Step 4: Simplify right side
   10,146.30x = 79,365,523.26
5. Step 5: Solve for x
   x = 79,365,523.26/10,146.30
6. Step 6: Final answer
   x = 7,822.11