Finding the Fourth Proportional to 10,213.50, 15,323.90 and 5,023.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.50 : 15,323.90 = 5,023.02 : x
2. Step 2: Convert to fraction form
   10,213.50/15,323.90 = 5,023.02/x
3. Step 3: Cross multiply
   10,213.50x = 15,323.90 × 5,023.02
4. Step 4: Simplify right side
   10,213.50x = 76,972,256.18
5. Step 5: Solve for x
   x = 76,972,256.18/10,213.50
6. Step 6: Final answer
   x = 7,536.33