Finding the Fourth Proportional to 9,778.80, 13,492.14 and 5,796.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.80 : 13,492.14 = 5,796.60 : x
2. Step 2: Convert to fraction form
   9,778.80/13,492.14 = 5,796.60/x
3. Step 3: Cross multiply
   9,778.80x = 13,492.14 × 5,796.60
4. Step 4: Simplify right side
   9,778.80x = 78,208,538.72
5. Step 5: Solve for x
   x = 78,208,538.72/9,778.80
6. Step 6: Final answer
   x = 7,997.76