Finding the Fourth Proportional to 10,022.54, 13,830.82 and 5,546.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.54 : 13,830.82 = 5,546.14 : x
2. Step 2: Convert to fraction form
   10,022.54/13,830.82 = 5,546.14/x
3. Step 3: Cross multiply
   10,022.54x = 13,830.82 × 5,546.14
4. Step 4: Simplify right side
   10,022.54x = 76,707,615.59
5. Step 5: Solve for x
   x = 76,707,615.59/10,022.54
6. Step 6: Final answer
   x = 7,653.51