Finding the Fourth Proportional to 9,136.37, 12,595.62 and 5,777.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,136.37 : 12,595.62 = 5,777.49 : x
2. Step 2: Convert to fraction form
   9,136.37/12,595.62 = 5,777.49/x
3. Step 3: Cross multiply
   9,136.37x = 12,595.62 × 5,777.49
4. Step 4: Simplify right side
   9,136.37x = 72,771,068.59
5. Step 5: Solve for x
   x = 72,771,068.59/9,136.37
6. Step 6: Final answer
   x = 7,964.99