Finding the Fourth Proportional to 10,022.00, 13,830.38 and 5,546.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.00 : 13,830.38 = 5,546.05 : x
2. Step 2: Convert to fraction form
   10,022.00/13,830.38 = 5,546.05/x
3. Step 3: Cross multiply
   10,022.00x = 13,830.38 × 5,546.05
4. Step 4: Simplify right side
   10,022.00x = 76,704,015.29
5. Step 5: Solve for x
   x = 76,704,015.29/10,022.00
6. Step 6: Final answer
   x = 7,653.57