Finding the Fourth Proportional to 2,261.76, 3,119.50 and 1,947.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,261.76 : 3,119.50 = 1,947.57 : x
2. Step 2: Convert to fraction form
   2,261.76/3,119.50 = 1,947.57/x
3. Step 3: Cross multiply
   2,261.76x = 3,119.50 × 1,947.57
4. Step 4: Simplify right side
   2,261.76x = 6,075,419.28
5. Step 5: Solve for x
   x = 6,075,419.28/2,261.76
6. Step 6: Final answer
   x = 2,686.15