Finding the Fourth Proportional to 2,109.77, 3,165.62 and 877.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.77 : 3,165.62 = 877.46 : x
2. Step 2: Convert to fraction form
   2,109.77/3,165.62 = 877.46/x
3. Step 3: Cross multiply
   2,109.77x = 3,165.62 × 877.46
4. Step 4: Simplify right side
   2,109.77x = 2,777,684.71
5. Step 5: Solve for x
   x = 2,777,684.71/2,109.77
6. Step 6: Final answer
   x = 1,316.58