Finding the Fourth Proportional to 10,013.85, 13,819.83 and 5,537.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.85 : 13,819.83 = 5,537.52 : x
2. Step 2: Convert to fraction form
   10,013.85/13,819.83 = 5,537.52/x
3. Step 3: Cross multiply
   10,013.85x = 13,819.83 × 5,537.52
4. Step 4: Simplify right side
   10,013.85x = 76,527,585.02
5. Step 5: Solve for x
   x = 76,527,585.02/10,013.85
6. Step 6: Final answer
   x = 7,642.17