Finding the Fourth Proportional to 10,296.63, 14,209.56 and 5,820.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.63 : 14,209.56 = 5,820.48 : x
2. Step 2: Convert to fraction form
   10,296.63/14,209.56 = 5,820.48/x
3. Step 3: Cross multiply
   10,296.63x = 14,209.56 × 5,820.48
4. Step 4: Simplify right side
   10,296.63x = 82,706,459.79
5. Step 5: Solve for x
   x = 82,706,459.79/10,296.63
6. Step 6: Final answer
   x = 8,032.38