Finding the Fourth Proportional to 9,777.34, 13,492.38 and 5,796.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.34 : 13,492.38 = 5,796.08 : x
2. Step 2: Convert to fraction form
   9,777.34/13,492.38 = 5,796.08/x
3. Step 3: Cross multiply
   9,777.34x = 13,492.38 × 5,796.08
4. Step 4: Simplify right side
   9,777.34x = 78,202,913.87
5. Step 5: Solve for x
   x = 78,202,913.87/9,777.34
6. Step 6: Final answer
   x = 7,998.38