Finding the Fourth Proportional to 10,493.21, 14,481.51 and 5,778.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.21 : 14,481.51 = 5,778.38 : x
2. Step 2: Convert to fraction form
   10,493.21/14,481.51 = 5,778.38/x
3. Step 3: Cross multiply
   10,493.21x = 14,481.51 × 5,778.38
4. Step 4: Simplify right side
   10,493.21x = 83,679,667.75
5. Step 5: Solve for x
   x = 83,679,667.75/10,493.21
6. Step 6: Final answer
   x = 7,974.65