Finding the Fourth Proportional to 9,820.16, 14,734.72 and 3,664.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.16 : 14,734.72 = 3,664.64 : x
2. Step 2: Convert to fraction form
   9,820.16/14,734.72 = 3,664.64/x
3. Step 3: Cross multiply
   9,820.16x = 14,734.72 × 3,664.64
4. Step 4: Simplify right side
   9,820.16x = 53,997,444.30
5. Step 5: Solve for x
   x = 53,997,444.30/9,820.16
6. Step 6: Final answer
   x = 5,498.63