Finding the Fourth Proportional to 9,955.65, 13,738.17 and 5,706.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,955.65 : 13,738.17 = 5,706.72 : x
2. Step 2: Convert to fraction form
   9,955.65/13,738.17 = 5,706.72/x
3. Step 3: Cross multiply
   9,955.65x = 13,738.17 × 5,706.72
4. Step 4: Simplify right side
   9,955.65x = 78,399,889.50
5. Step 5: Solve for x
   x = 78,399,889.50/9,955.65
6. Step 6: Final answer
   x = 7,874.91