Finding the Fourth Proportional to 9,969.56, 13,757.82 and 5,778.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969.56 : 13,757.82 = 5,778.20 : x
2. Step 2: Convert to fraction form
   9,969.56/13,757.82 = 5,778.20/x
3. Step 3: Cross multiply
   9,969.56x = 13,757.82 × 5,778.20
4. Step 4: Simplify right side
   9,969.56x = 79,495,435.52
5. Step 5: Solve for x
   x = 79,495,435.52/9,969.56
6. Step 6: Final answer
   x = 7,973.82