Finding the Fourth Proportional to 2,109.56, 3,162.63 and 1,878.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.56 : 3,162.63 = 1,878.90 : x
2. Step 2: Convert to fraction form
   2,109.56/3,162.63 = 1,878.90/x
3. Step 3: Cross multiply
   2,109.56x = 3,162.63 × 1,878.90
4. Step 4: Simplify right side
   2,109.56x = 5,942,265.51
5. Step 5: Solve for x
   x = 5,942,265.51/2,109.56
6. Step 6: Final answer
   x = 2,816.83