Finding the Fourth Proportional to 10,022.79, 13,830.84 and 5,546.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.79 : 13,830.84 = 5,546.28 : x
2. Step 2: Convert to fraction form
   10,022.79/13,830.84 = 5,546.28/x
3. Step 3: Cross multiply
   10,022.79x = 13,830.84 × 5,546.28
4. Step 4: Simplify right side
   10,022.79x = 76,709,711.28
5. Step 5: Solve for x
   x = 76,709,711.28/10,022.79
6. Step 6: Final answer
   x = 7,653.53