Finding the Fourth Proportional to 9,897.14, 14,847.78 and 3,657.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.14 : 14,847.78 = 3,657.14 : x
2. Step 2: Convert to fraction form
   9,897.14/14,847.78 = 3,657.14/x
3. Step 3: Cross multiply
   9,897.14x = 14,847.78 × 3,657.14
4. Step 4: Simplify right side
   9,897.14x = 54,300,410.15
5. Step 5: Solve for x
   x = 54,300,410.15/9,897.14
6. Step 6: Final answer
   x = 5,486.47