Finding the Fourth Proportional to 10,014.32, 13,819.37 and 5,537.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.32 : 13,819.37 = 5,537.78 : x
2. Step 2: Convert to fraction form
   10,014.32/13,819.37 = 5,537.78/x
3. Step 3: Cross multiply
   10,014.32x = 13,819.37 × 5,537.78
4. Step 4: Simplify right side
   10,014.32x = 76,528,630.80
5. Step 5: Solve for x
   x = 76,528,630.80/10,014.32
6. Step 6: Final answer
   x = 7,641.92