Finding the Fourth Proportional to 1,549.82, 2,138.29 and 877.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.82 : 2,138.29 = 877.59 : x
2. Step 2: Convert to fraction form
   1,549.82/2,138.29 = 877.59/x
3. Step 3: Cross multiply
   1,549.82x = 2,138.29 × 877.59
4. Step 4: Simplify right side
   1,549.82x = 1,876,541.92
5. Step 5: Solve for x
   x = 1,876,541.92/1,549.82
6. Step 6: Final answer
   x = 1,210.81