Finding the Fourth Proportional to 9,777.98, 13,492.20 and 5,471.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.98 : 13,492.20 = 5,471.05 : x
2. Step 2: Convert to fraction form
   9,777.98/13,492.20 = 5,471.05/x
3. Step 3: Cross multiply
   9,777.98x = 13,492.20 × 5,471.05
4. Step 4: Simplify right side
   9,777.98x = 73,816,500.81
5. Step 5: Solve for x
   x = 73,816,500.81/9,777.98
6. Step 6: Final answer
   x = 7,549.26