Finding the Fourth Proportional to 9,955.41, 13,737.70 and 5,706.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,955.41 : 13,737.70 = 5,706.42 : x
2. Step 2: Convert to fraction form
   9,955.41/13,737.70 = 5,706.42/x
3. Step 3: Cross multiply
   9,955.41x = 13,737.70 × 5,706.42
4. Step 4: Simplify right side
   9,955.41x = 78,393,086.03
5. Step 5: Solve for x
   x = 78,393,086.03/9,955.41
6. Step 6: Final answer
   x = 7,874.42