Finding the Fourth Proportional to 10,022.37, 13,830.37 and 5,546.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.37 : 13,830.37 = 5,546.04 : x
2. Step 2: Convert to fraction form
   10,022.37/13,830.37 = 5,546.04/x
3. Step 3: Cross multiply
   10,022.37x = 13,830.37 × 5,546.04
4. Step 4: Simplify right side
   10,022.37x = 76,703,785.23
5. Step 5: Solve for x
   x = 76,703,785.23/10,022.37
6. Step 6: Final answer
   x = 7,653.26