Finding the Fourth Proportional to 10,023.24, 13,833.12 and 5,774.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.24 : 13,833.12 = 5,774.47 : x
2. Step 2: Convert to fraction form
   10,023.24/13,833.12 = 5,774.47/x
3. Step 3: Cross multiply
   10,023.24x = 13,833.12 × 5,774.47
4. Step 4: Simplify right side
   10,023.24x = 79,878,936.45
5. Step 5: Solve for x
   x = 79,878,936.45/10,023.24
6. Step 6: Final answer
   x = 7,969.37