Finding the Fourth Proportional to 10,022.40, 13,830.84 and 5,546.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.40 : 13,830.84 = 5,546.16 : x
2. Step 2: Convert to fraction form
   10,022.40/13,830.84 = 5,546.16/x
3. Step 3: Cross multiply
   10,022.40x = 13,830.84 × 5,546.16
4. Step 4: Simplify right side
   10,022.40x = 76,708,051.57
5. Step 5: Solve for x
   x = 76,708,051.57/10,022.40
6. Step 6: Final answer
   x = 7,653.66