Finding the Fourth Proportional to 3,785.82, 5,678.60 and 1,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,785.82 : 5,678.60 = 1,837.50 : x
2. Step 2: Convert to fraction form
   3,785.82/5,678.60 = 1,837.50/x
3. Step 3: Cross multiply
   3,785.82x = 5,678.60 × 1,837.50
4. Step 4: Simplify right side
   3,785.82x = 10,434,418.31
5. Step 5: Solve for x
   x = 10,434,418.31/3,785.82
6. Step 6: Final answer
   x = 2,756.18