Finding the Fourth Proportional to 10,493.93, 14,481.63 and 5,778.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.93 : 14,481.63 = 5,778.21 : x
2. Step 2: Convert to fraction form
   10,493.93/14,481.63 = 5,778.21/x
3. Step 3: Cross multiply
   10,493.93x = 14,481.63 × 5,778.21
4. Step 4: Simplify right side
   10,493.93x = 83,677,953.59
5. Step 5: Solve for x
   x = 83,677,953.59/10,493.93
6. Step 6: Final answer
   x = 7,973.94