Finding the Fourth Proportional to 9,777.42, 13,493.10 and 5,527.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.42 : 13,493.10 = 5,527.62 : x
2. Step 2: Convert to fraction form
   9,777.42/13,493.10 = 5,527.62/x
3. Step 3: Cross multiply
   9,777.42x = 13,493.10 × 5,527.62
4. Step 4: Simplify right side
   9,777.42x = 74,584,729.42
5. Step 5: Solve for x
   x = 74,584,729.42/9,777.42
6. Step 6: Final answer
   x = 7,628.26