Finding the Fourth Proportional to 10,446.06, 14,415.47 and 5,730.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.06 : 14,415.47 = 5,730.35 : x
2. Step 2: Convert to fraction form
   10,446.06/14,415.47 = 5,730.35/x
3. Step 3: Cross multiply
   10,446.06x = 14,415.47 × 5,730.35
4. Step 4: Simplify right side
   10,446.06x = 82,605,609.27
5. Step 5: Solve for x
   x = 82,605,609.27/10,446.06
6. Step 6: Final answer
   x = 7,907.82