Finding the Fourth Proportional to 10,216.50, 15,328.44 and 5,026.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.50 : 15,328.44 = 5,026.02 : x
2. Step 2: Convert to fraction form
   10,216.50/15,328.44 = 5,026.02/x
3. Step 3: Cross multiply
   10,216.50x = 15,328.44 × 5,026.02
4. Step 4: Simplify right side
   10,216.50x = 77,041,046.01
5. Step 5: Solve for x
   x = 77,041,046.01/10,216.50
6. Step 6: Final answer
   x = 7,540.85