Finding the Fourth Proportional to 10,149.58, 14,006.38 and 5,673.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.58 : 14,006.38 = 5,673.34 : x
2. Step 2: Convert to fraction form
   10,149.58/14,006.38 = 5,673.34/x
3. Step 3: Cross multiply
   10,149.58x = 14,006.38 × 5,673.34
4. Step 4: Simplify right side
   10,149.58x = 79,462,955.91
5. Step 5: Solve for x
   x = 79,462,955.91/10,149.58
6. Step 6: Final answer
   x = 7,829.19