Finding the Fourth Proportional to 9,778.06, 13,493.73 and 5,301.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.06 : 13,493.73 = 5,301.82 : x
2. Step 2: Convert to fraction form
   9,778.06/13,493.73 = 5,301.82/x
3. Step 3: Cross multiply
   9,778.06x = 13,493.73 × 5,301.82
4. Step 4: Simplify right side
   9,778.06x = 71,541,327.59
5. Step 5: Solve for x
   x = 71,541,327.59/9,778.06
6. Step 6: Final answer
   x = 7,316.52