Finding the Fourth Proportional to 2,466.58, 3,697.71 and 926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.58 : 3,697.71 = 926.50 : x
2. Step 2: Convert to fraction form
   2,466.58/3,697.71 = 926.50/x
3. Step 3: Cross multiply
   2,466.58x = 3,697.71 × 926.50
4. Step 4: Simplify right side
   2,466.58x = 3,425,928.32
5. Step 5: Solve for x
   x = 3,425,928.32/2,466.58
6. Step 6: Final answer
   x = 1,388.94