Finding the Fourth Proportional to 10,023.42, 13,828.59 and 7,724.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.42 : 13,828.59 = 7,724.49 : x
2. Step 2: Convert to fraction form
   10,023.42/13,828.59 = 7,724.49/x
3. Step 3: Cross multiply
   10,023.42x = 13,828.59 × 7,724.49
4. Step 4: Simplify right side
   10,023.42x = 106,818,753.31
5. Step 5: Solve for x
   x = 106,818,753.31/10,023.42
6. Step 6: Final answer
   x = 10,656.91