Finding the Fourth Proportional to 10,095.67, 13,931.89 and 5,619.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095.67 : 13,931.89 = 5,619.42 : x
2. Step 2: Convert to fraction form
   10,095.67/13,931.89 = 5,619.42/x
3. Step 3: Cross multiply
   10,095.67x = 13,931.89 × 5,619.42
4. Step 4: Simplify right side
   10,095.67x = 78,289,141.30
5. Step 5: Solve for x
   x = 78,289,141.30/10,095.67
6. Step 6: Final answer
   x = 7,754.72