Finding the Fourth Proportional to 10,096.50, 13,932.84 and 5,620.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.50 : 13,932.84 = 5,620.10 : x
2. Step 2: Convert to fraction form
   10,096.50/13,932.84 = 5,620.10/x
3. Step 3: Cross multiply
   10,096.50x = 13,932.84 × 5,620.10
4. Step 4: Simplify right side
   10,096.50x = 78,303,915.59
5. Step 5: Solve for x
   x = 78,303,915.59/10,096.50
6. Step 6: Final answer
   x = 7,755.55