Finding the Fourth Proportional to 9,822.75, 14,734.53 and 2,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.75 : 14,734.53 = 2,897.25 : x
2. Step 2: Convert to fraction form
   9,822.75/14,734.53 = 2,897.25/x
3. Step 3: Cross multiply
   9,822.75x = 14,734.53 × 2,897.25
4. Step 4: Simplify right side
   9,822.75x = 42,689,617.04
5. Step 5: Solve for x
   x = 42,689,617.04/9,822.75
6. Step 6: Final answer
   x = 4,345.99