Finding the Fourth Proportional to 10,478.04, 14,469 and 7,820.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.04 : 14,469 = 7,820.76 : x
2. Step 2: Convert to fraction form
   10,478.04/14,469 = 7,820.76/x
3. Step 3: Cross multiply
   10,478.04x = 14,469 × 7,820.76
4. Step 4: Simplify right side
   10,478.04x = 113,158,576.44
5. Step 5: Solve for x
   x = 113,158,576.44/10,478.04
6. Step 6: Final answer
   x = 10,799.59