Finding the Fourth Proportional to 9,820.06, 13,550.16 and 5,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.06 : 13,550.16 = 5,627.50 : x
2. Step 2: Convert to fraction form
   9,820.06/13,550.16 = 5,627.50/x
3. Step 3: Cross multiply
   9,820.06x = 13,550.16 × 5,627.50
4. Step 4: Simplify right side
   9,820.06x = 76,253,525.40
5. Step 5: Solve for x
   x = 76,253,525.40/9,820.06
6. Step 6: Final answer
   x = 7,765.08