Finding the Fourth Proportional to 10,446.69, 14,416.19 and 5,730.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.69 : 14,416.19 = 5,730.93 : x
2. Step 2: Convert to fraction form
   10,446.69/14,416.19 = 5,730.93/x
3. Step 3: Cross multiply
   10,446.69x = 14,416.19 × 5,730.93
4. Step 4: Simplify right side
   10,446.69x = 82,618,147.10
5. Step 5: Solve for x
   x = 82,618,147.10/10,446.69
6. Step 6: Final answer
   x = 7,908.55