Finding the Fourth Proportional to 10,296.78, 14,208.72 and 5,820.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.78 : 14,208.72 = 5,820.96 : x
2. Step 2: Convert to fraction form
   10,296.78/14,208.72 = 5,820.96/x
3. Step 3: Cross multiply
   10,296.78x = 14,208.72 × 5,820.96
4. Step 4: Simplify right side
   10,296.78x = 82,708,390.77
5. Step 5: Solve for x
   x = 82,708,390.77/10,296.78
6. Step 6: Final answer
   x = 8,032.45