Finding the Fourth Proportional to 9,681.84, 13,361.47 and 5,434.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681.84 : 13,361.47 = 5,434.24 : x
2. Step 2: Convert to fraction form
   9,681.84/13,361.47 = 5,434.24/x
3. Step 3: Cross multiply
   9,681.84x = 13,361.47 × 5,434.24
4. Step 4: Simplify right side
   9,681.84x = 72,609,434.73
5. Step 5: Solve for x
   x = 72,609,434.73/9,681.84
6. Step 6: Final answer
   x = 7,499.55