Finding the Fourth Proportional to 9,519.78, 13,136.00 and 5,537.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,519.78 : 13,136.00 = 5,537.82 : x
2. Step 2: Convert to fraction form
   9,519.78/13,136.00 = 5,537.82/x
3. Step 3: Cross multiply
   9,519.78x = 13,136.00 × 5,537.82
4. Step 4: Simplify right side
   9,519.78x = 72,744,775.83
5. Step 5: Solve for x
   x = 72,744,775.83/9,519.78
6. Step 6: Final answer
   x = 7,641.43