Finding the Fourth Proportional to 9,819.56, 13,549.47 and 5,627

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.56 : 13,549.47 = 5,627 : x
2. Step 2: Convert to fraction form
   9,819.56/13,549.47 = 5,627/x
3. Step 3: Cross multiply
   9,819.56x = 13,549.47 × 5,627
4. Step 4: Simplify right side
   9,819.56x = 76,242,867.69
5. Step 5: Solve for x
   x = 76,242,867.69/9,819.56
6. Step 6: Final answer
   x = 7,764.39