Finding the Fourth Proportional to 10,010.64, 13,815.69 and 5,534.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010.64 : 13,815.69 = 5,534.73 : x
2. Step 2: Convert to fraction form
   10,010.64/13,815.69 = 5,534.73/x
3. Step 3: Cross multiply
   10,010.64x = 13,815.69 × 5,534.73
4. Step 4: Simplify right side
   10,010.64x = 76,466,108.72
5. Step 5: Solve for x
   x = 76,466,108.72/10,010.64
6. Step 6: Final answer
   x = 7,638.48