Finding the Fourth Proportional to 9,777.46, 13,492.55 and 5,796.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.46 : 13,492.55 = 5,796.20 : x
2. Step 2: Convert to fraction form
   9,777.46/13,492.55 = 5,796.20/x
3. Step 3: Cross multiply
   9,777.46x = 13,492.55 × 5,796.20
4. Step 4: Simplify right side
   9,777.46x = 78,205,566.53
5. Step 5: Solve for x
   x = 78,205,566.53/9,777.46
6. Step 6: Final answer
   x = 7,998.56