Finding the Fourth Proportional to 10,004.49, 13,807.28 and 5,755.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.49 : 13,807.28 = 5,755.74 : x
2. Step 2: Convert to fraction form
   10,004.49/13,807.28 = 5,755.74/x
3. Step 3: Cross multiply
   10,004.49x = 13,807.28 × 5,755.74
4. Step 4: Simplify right side
   10,004.49x = 79,471,085.01
5. Step 5: Solve for x
   x = 79,471,085.01/10,004.49
6. Step 6: Final answer
   x = 7,943.54