Finding the Fourth Proportional to 9,819.81, 13,549.82 and 5,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.81 : 13,549.82 = 5,627.25 : x
2. Step 2: Convert to fraction form
   9,819.81/13,549.82 = 5,627.25/x
3. Step 3: Cross multiply
   9,819.81x = 13,549.82 × 5,627.25
4. Step 4: Simplify right side
   9,819.81x = 76,248,196.46
5. Step 5: Solve for x
   x = 76,248,196.46/9,819.81
6. Step 6: Final answer
   x = 7,764.73