Finding the Fourth Proportional to 10,146.08, 14,001.89 and 5,669.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.08 : 14,001.89 = 5,669.84 : x
2. Step 2: Convert to fraction form
   10,146.08/14,001.89 = 5,669.84/x
3. Step 3: Cross multiply
   10,146.08x = 14,001.89 × 5,669.84
4. Step 4: Simplify right side
   10,146.08x = 79,388,513.28
5. Step 5: Solve for x
   x = 79,388,513.28/10,146.08
6. Step 6: Final answer
   x = 7,824.55