Finding the Fourth Proportional to 10,022.53, 13,830.03 and 5,546.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.53 : 13,830.03 = 5,546.17 : x
2. Step 2: Convert to fraction form
   10,022.53/13,830.03 = 5,546.17/x
3. Step 3: Cross multiply
   10,022.53x = 13,830.03 × 5,546.17
4. Step 4: Simplify right side
   10,022.53x = 76,703,697.49
5. Step 5: Solve for x
   x = 76,703,697.49/10,022.53
6. Step 6: Final answer
   x = 7,653.13