Finding the Fourth Proportional to 9,857.82, 14,782.38 and 3,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.82 : 14,782.38 = 3,697.50 : x
2. Step 2: Convert to fraction form
   9,857.82/14,782.38 = 3,697.50/x
3. Step 3: Cross multiply
   9,857.82x = 14,782.38 × 3,697.50
4. Step 4: Simplify right side
   9,857.82x = 54,657,850.05
5. Step 5: Solve for x
   x = 54,657,850.05/9,857.82
6. Step 6: Final answer
   x = 5,544.62