Finding the Fourth Proportional to 9,185.74, 13,778.52 and 2,611.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.74 : 13,778.52 = 2,611.06 : x
2. Step 2: Convert to fraction form
   9,185.74/13,778.52 = 2,611.06/x
3. Step 3: Cross multiply
   9,185.74x = 13,778.52 × 2,611.06
4. Step 4: Simplify right side
   9,185.74x = 35,976,498.19
5. Step 5: Solve for x
   x = 35,976,498.19/9,185.74
6. Step 6: Final answer
   x = 3,916.56