Finding the Fourth Proportional to 3,870.84, 5,805.78 and 2,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.84 : 5,805.78 = 2,290.50 : x
2. Step 2: Convert to fraction form
   3,870.84/5,805.78 = 2,290.50/x
3. Step 3: Cross multiply
   3,870.84x = 5,805.78 × 2,290.50
4. Step 4: Simplify right side
   3,870.84x = 13,298,139.09
5. Step 5: Solve for x
   x = 13,298,139.09/3,870.84
6. Step 6: Final answer
   x = 3,435.47