Finding the Fourth Proportional to 10,023.07, 13,830.69 and 5,546.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.07 : 13,830.69 = 5,546.20 : x
2. Step 2: Convert to fraction form
   10,023.07/13,830.69 = 5,546.20/x
3. Step 3: Cross multiply
   10,023.07x = 13,830.69 × 5,546.20
4. Step 4: Simplify right side
   10,023.07x = 76,707,772.88
5. Step 5: Solve for x
   x = 76,707,772.88/10,023.07
6. Step 6: Final answer
   x = 7,653.12