Finding the Fourth Proportional to 10,146.36, 13,998.72 and 5,669.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.36 : 13,998.72 = 5,669.40 : x
2. Step 2: Convert to fraction form
   10,146.36/13,998.72 = 5,669.40/x
3. Step 3: Cross multiply
   10,146.36x = 13,998.72 × 5,669.40
4. Step 4: Simplify right side
   10,146.36x = 79,364,343.17
5. Step 5: Solve for x
   x = 79,364,343.17/10,146.36
6. Step 6: Final answer
   x = 7,821.95