Finding the Fourth Proportional to 10,206.51, 14,085.20 and 5,730.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.51 : 14,085.20 = 5,730.38 : x
2. Step 2: Convert to fraction form
   10,206.51/14,085.20 = 5,730.38/x
3. Step 3: Cross multiply
   10,206.51x = 14,085.20 × 5,730.38
4. Step 4: Simplify right side
   10,206.51x = 80,713,597.91
5. Step 5: Solve for x
   x = 80,713,597.91/10,206.51
6. Step 6: Final answer
   x = 7,908.05