Finding the Fourth Proportional to 9,096.50, 12,553.76 and 5,513.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.50 : 12,553.76 = 5,513.93 : x
2. Step 2: Convert to fraction form
   9,096.50/12,553.76 = 5,513.93/x
3. Step 3: Cross multiply
   9,096.50x = 12,553.76 × 5,513.93
4. Step 4: Simplify right side
   9,096.50x = 69,220,526.31
5. Step 5: Solve for x
   x = 69,220,526.31/9,096.50
6. Step 6: Final answer
   x = 7,609.58