Finding the Fourth Proportional to 10,494.01, 14,481.75 and 5,778.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.01 : 14,481.75 = 5,778.30 : x
2. Step 2: Convert to fraction form
   10,494.01/14,481.75 = 5,778.30/x
3. Step 3: Cross multiply
   10,494.01x = 14,481.75 × 5,778.30
4. Step 4: Simplify right side
   10,494.01x = 83,679,896.03
5. Step 5: Solve for x
   x = 83,679,896.03/10,494.01
6. Step 6: Final answer
   x = 7,974.06