Finding the Fourth Proportional to 2,611.60, 3,914.06 and 1,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.60 : 3,914.06 = 1,825.50 : x
2. Step 2: Convert to fraction form
   2,611.60/3,914.06 = 1,825.50/x
3. Step 3: Cross multiply
   2,611.60x = 3,914.06 × 1,825.50
4. Step 4: Simplify right side
   2,611.60x = 7,145,116.53
5. Step 5: Solve for x
   x = 7,145,116.53/2,611.60
6. Step 6: Final answer
   x = 2,735.92