Finding the Fourth Proportional to 9,955.57, 13,738.73 and 5,706.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,955.57 : 13,738.73 = 5,706.88 : x
2. Step 2: Convert to fraction form
   9,955.57/13,738.73 = 5,706.88/x
3. Step 3: Cross multiply
   9,955.57x = 13,738.73 × 5,706.88
4. Step 4: Simplify right side
   9,955.57x = 78,405,220.58
5. Step 5: Solve for x
   x = 78,405,220.58/9,955.57
6. Step 6: Final answer
   x = 7,875.51