Finding the Fourth Proportional to 10,004.12, 13,806.51 and 5,756.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.12 : 13,806.51 = 5,756.57 : x
2. Step 2: Convert to fraction form
   10,004.12/13,806.51 = 5,756.57/x
3. Step 3: Cross multiply
   10,004.12x = 13,806.51 × 5,756.57
4. Step 4: Simplify right side
   10,004.12x = 79,478,141.27
5. Step 5: Solve for x
   x = 79,478,141.27/10,004.12
6. Step 6: Final answer
   x = 7,944.54