Finding the Fourth Proportional to 10,022.39, 13,830.70 and 5,546.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.39 : 13,830.70 = 5,546.14 : x
2. Step 2: Convert to fraction form
   10,022.39/13,830.70 = 5,546.14/x
3. Step 3: Cross multiply
   10,022.39x = 13,830.70 × 5,546.14
4. Step 4: Simplify right side
   10,022.39x = 76,707,005.34
5. Step 5: Solve for x
   x = 76,707,005.34/10,022.39
6. Step 6: Final answer
   x = 7,653.56