Finding the Fourth Proportional to 10,219.50, 15,315.39 and 4,665.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.50 : 15,315.39 = 4,665.96 : x
2. Step 2: Convert to fraction form
   10,219.50/15,315.39 = 4,665.96/x
3. Step 3: Cross multiply
   10,219.50x = 15,315.39 × 4,665.96
4. Step 4: Simplify right side
   10,219.50x = 71,460,997.12
5. Step 5: Solve for x
   x = 71,460,997.12/10,219.50
6. Step 6: Final answer
   x = 6,992.61