Finding the Fourth Proportional to 10,072.80, 13,898.90 and 5,596.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.80 : 13,898.90 = 5,596.12 : x
2. Step 2: Convert to fraction form
   10,072.80/13,898.90 = 5,596.12/x
3. Step 3: Cross multiply
   10,072.80x = 13,898.90 × 5,596.12
4. Step 4: Simplify right side
   10,072.80x = 77,779,912.27
5. Step 5: Solve for x
   x = 77,779,912.27/10,072.80
6. Step 6: Final answer
   x = 7,721.78