Finding the Fourth Proportional to 9,932.67, 13,706.55 and 5,683.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,932.67 : 13,706.55 = 5,683.82 : x
2. Step 2: Convert to fraction form
   9,932.67/13,706.55 = 5,683.82/x
3. Step 3: Cross multiply
   9,932.67x = 13,706.55 × 5,683.82
4. Step 4: Simplify right side
   9,932.67x = 77,905,494.49
5. Step 5: Solve for x
   x = 77,905,494.49/9,932.67
6. Step 6: Final answer
   x = 7,843.36