Finding the Fourth Proportional to 2,377.50, 3,563.46 and 1,338

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 3,563.46 = 1,338 : x
2. Step 2: Convert to fraction form
   2,377.50/3,563.46 = 1,338/x
3. Step 3: Cross multiply
   2,377.50x = 3,563.46 × 1,338
4. Step 4: Simplify right side
   2,377.50x = 4,767,909.48
5. Step 5: Solve for x
   x = 4,767,909.48/2,377.50
6. Step 6: Final answer
   x = 2,005.43