Finding the Fourth Proportional to 10,446.59, 14,415.81 and 5,730.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.59 : 14,415.81 = 5,730.77 : x
2. Step 2: Convert to fraction form
   10,446.59/14,415.81 = 5,730.77/x
3. Step 3: Cross multiply
   10,446.59x = 14,415.81 × 5,730.77
4. Step 4: Simplify right side
   10,446.59x = 82,613,619.39
5. Step 5: Solve for x
   x = 82,613,619.39/10,446.59
6. Step 6: Final answer
   x = 7,908.19