Finding the Fourth Proportional to 10,024.33, 13,835.04 and 5,774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.33 : 13,835.04 = 5,774.56 : x
2. Step 2: Convert to fraction form
   10,024.33/13,835.04 = 5,774.56/x
3. Step 3: Cross multiply
   10,024.33x = 13,835.04 × 5,774.56
4. Step 4: Simplify right side
   10,024.33x = 79,891,239.71
5. Step 5: Solve for x
   x = 79,891,239.71/10,024.33
6. Step 6: Final answer
   x = 7,969.74