Finding the Fourth Proportional to 9,185.34, 13,769.92 and 3,642.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.34 : 13,769.92 = 3,642.58 : x
2. Step 2: Convert to fraction form
   9,185.34/13,769.92 = 3,642.58/x
3. Step 3: Cross multiply
   9,185.34x = 13,769.92 × 3,642.58
4. Step 4: Simplify right side
   9,185.34x = 50,158,035.19
5. Step 5: Solve for x
   x = 50,158,035.19/9,185.34
6. Step 6: Final answer
   x = 5,460.66