Finding the Fourth Proportional to 10,095.86, 13,932.14 and 5,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095.86 : 13,932.14 = 5,619.50 : x
2. Step 2: Convert to fraction form
   10,095.86/13,932.14 = 5,619.50/x
3. Step 3: Cross multiply
   10,095.86x = 13,932.14 × 5,619.50
4. Step 4: Simplify right side
   10,095.86x = 78,291,660.73
5. Step 5: Solve for x
   x = 78,291,660.73/10,095.86
6. Step 6: Final answer
   x = 7,754.83