Finding the Fourth Proportional to 9,913.75, 13,678.83 and 5,719.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.75 : 13,678.83 = 5,719.57 : x
2. Step 2: Convert to fraction form
   9,913.75/13,678.83 = 5,719.57/x
3. Step 3: Cross multiply
   9,913.75x = 13,678.83 × 5,719.57
4. Step 4: Simplify right side
   9,913.75x = 78,237,025.70
5. Step 5: Solve for x
   x = 78,237,025.70/9,913.75
6. Step 6: Final answer
   x = 7,891.77