Finding the Fourth Proportional to 2,089.68, 3,145.86 and 1,878

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.68 : 3,145.86 = 1,878 : x
2. Step 2: Convert to fraction form
   2,089.68/3,145.86 = 1,878/x
3. Step 3: Cross multiply
   2,089.68x = 3,145.86 × 1,878
4. Step 4: Simplify right side
   2,089.68x = 5,907,925.08
5. Step 5: Solve for x
   x = 5,907,925.08/2,089.68
6. Step 6: Final answer
   x = 2,827.19