Finding the Fourth Proportional to 9,802.89, 14,705.42 and 3,564.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.89 : 14,705.42 = 3,564.81 : x
2. Step 2: Convert to fraction form
   9,802.89/14,705.42 = 3,564.81/x
3. Step 3: Cross multiply
   9,802.89x = 14,705.42 × 3,564.81
4. Step 4: Simplify right side
   9,802.89x = 52,422,010.45
5. Step 5: Solve for x
   x = 52,422,010.45/9,802.89
6. Step 6: Final answer
   x = 5,347.61