Finding the Fourth Proportional to 9,820.16, 13,550.88 and 5,627.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.16 : 13,550.88 = 5,627.84 : x
2. Step 2: Convert to fraction form
   9,820.16/13,550.88 = 5,627.84/x
3. Step 3: Cross multiply
   9,820.16x = 13,550.88 × 5,627.84
4. Step 4: Simplify right side
   9,820.16x = 76,262,184.50
5. Step 5: Solve for x
   x = 76,262,184.50/9,820.16
6. Step 6: Final answer
   x = 7,765.88