Finding the Fourth Proportional to 9,820.38, 13,552.12 and 5,628.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.38 : 13,552.12 = 5,628.63 : x
2. Step 2: Convert to fraction form
   9,820.38/13,552.12 = 5,628.63/x
3. Step 3: Cross multiply
   9,820.38x = 13,552.12 × 5,628.63
4. Step 4: Simplify right side
   9,820.38x = 76,279,869.20
5. Step 5: Solve for x
   x = 76,279,869.20/9,820.38
6. Step 6: Final answer
   x = 7,767.51