Finding the Fourth Proportional to 9,513.81, 13,131.86 and 5,536.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.81 : 13,131.86 = 5,536.44 : x
2. Step 2: Convert to fraction form
   9,513.81/13,131.86 = 5,536.44/x
3. Step 3: Cross multiply
   9,513.81x = 13,131.86 × 5,536.44
4. Step 4: Simplify right side
   9,513.81x = 72,703,727.30
5. Step 5: Solve for x
   x = 72,703,727.30/9,513.81
6. Step 6: Final answer
   x = 7,641.91