Finding the Fourth Proportional to 2,109.15, 3,164.86 and 877.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.15 : 3,164.86 = 877.41 : x
2. Step 2: Convert to fraction form
   2,109.15/3,164.86 = 877.41/x
3. Step 3: Cross multiply
   2,109.15x = 3,164.86 × 877.41
4. Step 4: Simplify right side
   2,109.15x = 2,776,863.99
5. Step 5: Solve for x
   x = 2,776,863.99/2,109.15
6. Step 6: Final answer
   x = 1,316.58