Finding the Fourth Proportional to 10,009.02, 13,813.50 and 5,760.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.02 : 13,813.50 = 5,760.24 : x
2. Step 2: Convert to fraction form
   10,009.02/13,813.50 = 5,760.24/x
3. Step 3: Cross multiply
   10,009.02x = 13,813.50 × 5,760.24
4. Step 4: Simplify right side
   10,009.02x = 79,569,075.24
5. Step 5: Solve for x
   x = 79,569,075.24/10,009.02
6. Step 6: Final answer
   x = 7,949.74