Finding the Fourth Proportional to 9,820.56, 14,730.96 and 2,895.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.56 : 14,730.96 = 2,895.20 : x
2. Step 2: Convert to fraction form
   9,820.56/14,730.96 = 2,895.20/x
3. Step 3: Cross multiply
   9,820.56x = 14,730.96 × 2,895.20
4. Step 4: Simplify right side
   9,820.56x = 42,649,075.39
5. Step 5: Solve for x
   x = 42,649,075.39/9,820.56
6. Step 6: Final answer
   x = 4,342.84