Finding the Fourth Proportional to 9,837.82, 13,576.20 and 5,361.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837.82 : 13,576.20 = 5,361.57 : x
2. Step 2: Convert to fraction form
   9,837.82/13,576.20 = 5,361.57/x
3. Step 3: Cross multiply
   9,837.82x = 13,576.20 × 5,361.57
4. Step 4: Simplify right side
   9,837.82x = 72,789,719.83
5. Step 5: Solve for x
   x = 72,789,719.83/9,837.82
6. Step 6: Final answer
   x = 7,398.97