Finding the Fourth Proportional to 10,206.67, 14,085.46 and 5,730.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.67 : 14,085.46 = 5,730.76 : x
2. Step 2: Convert to fraction form
   10,206.67/14,085.46 = 5,730.76/x
3. Step 3: Cross multiply
   10,206.67x = 14,085.46 × 5,730.76
4. Step 4: Simplify right side
   10,206.67x = 80,720,390.75
5. Step 5: Solve for x
   x = 80,720,390.75/10,206.67
6. Step 6: Final answer
   x = 7,908.59