Finding the Fourth Proportional to 1,827.56, 2,738.05 and 771.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.56 : 2,738.05 = 771.02 : x
2. Step 2: Convert to fraction form
   1,827.56/2,738.05 = 771.02/x
3. Step 3: Cross multiply
   1,827.56x = 2,738.05 × 771.02
4. Step 4: Simplify right side
   1,827.56x = 2,111,090.30
5. Step 5: Solve for x
   x = 2,111,090.30/1,827.56
6. Step 6: Final answer
   x = 1,155.14