Finding the Fourth Proportional to 9,822.14, 14,735.91 and 4,552.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.14 : 14,735.91 = 4,552.82 : x
2. Step 2: Convert to fraction form
   9,822.14/14,735.91 = 4,552.82/x
3. Step 3: Cross multiply
   9,822.14x = 14,735.91 × 4,552.82
4. Step 4: Simplify right side
   9,822.14x = 67,089,945.77
5. Step 5: Solve for x
   x = 67,089,945.77/9,822.14
6. Step 6: Final answer
   x = 6,830.48