Finding the Fourth Proportional to 9,290.56, 13,936.56 and 2,365

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.56 : 13,936.56 = 2,365 : x
2. Step 2: Convert to fraction form
   9,290.56/13,936.56 = 2,365/x
3. Step 3: Cross multiply
   9,290.56x = 13,936.56 × 2,365
4. Step 4: Simplify right side
   9,290.56x = 32,959,964.40
5. Step 5: Solve for x
   x = 32,959,964.40/9,290.56
6. Step 6: Final answer
   x = 3,547.68