Finding the Fourth Proportional to 10,072.50, 13,899.78 and 5,596.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.50 : 13,899.78 = 5,596.14 : x
2. Step 2: Convert to fraction form
   10,072.50/13,899.78 = 5,596.14/x
3. Step 3: Cross multiply
   10,072.50x = 13,899.78 × 5,596.14
4. Step 4: Simplify right side
   10,072.50x = 77,785,114.85
5. Step 5: Solve for x
   x = 77,785,114.85/10,072.50
6. Step 6: Final answer
   x = 7,722.52