Finding the Fourth Proportional to 10,186.33, 14,053.98 and 5,709.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186.33 : 14,053.98 = 5,709.46 : x
2. Step 2: Convert to fraction form
   10,186.33/14,053.98 = 5,709.46/x
3. Step 3: Cross multiply
   10,186.33x = 14,053.98 × 5,709.46
4. Step 4: Simplify right side
   10,186.33x = 80,240,636.65
5. Step 5: Solve for x
   x = 80,240,636.65/10,186.33
6. Step 6: Final answer
   x = 7,877.29