Finding the Fourth Proportional to 10,096.16, 13,932.50 and 5,619.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.16 : 13,932.50 = 5,619.84 : x
2. Step 2: Convert to fraction form
   10,096.16/13,932.50 = 5,619.84/x
3. Step 3: Cross multiply
   10,096.16x = 13,932.50 × 5,619.84
4. Step 4: Simplify right side
   10,096.16x = 78,298,420.80
5. Step 5: Solve for x
   x = 78,298,420.80/10,096.16
6. Step 6: Final answer
   x = 7,755.27