Finding the Fourth Proportional to 10,219.40, 15,322.03 and 5,212.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.40 : 15,322.03 = 5,212.06 : x
2. Step 2: Convert to fraction form
   10,219.40/15,322.03 = 5,212.06/x
3. Step 3: Cross multiply
   10,219.40x = 15,322.03 × 5,212.06
4. Step 4: Simplify right side
   10,219.40x = 79,859,320.89
5. Step 5: Solve for x
   x = 79,859,320.89/10,219.40
6. Step 6: Final answer
   x = 7,814.48