Finding the Fourth Proportional to 9,516.20, 13,126.93 and 5,536.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.20 : 13,126.93 = 5,536.85 : x
2. Step 2: Convert to fraction form
   9,516.20/13,126.93 = 5,536.85/x
3. Step 3: Cross multiply
   9,516.20x = 13,126.93 × 5,536.85
4. Step 4: Simplify right side
   9,516.20x = 72,681,762.89
5. Step 5: Solve for x
   x = 72,681,762.89/9,516.20
6. Step 6: Final answer
   x = 7,637.69