Finding the Fourth Proportional to 2,075.80, 3,114.96 and 1,102.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.80 : 3,114.96 = 1,102.72 : x
2. Step 2: Convert to fraction form
   2,075.80/3,114.96 = 1,102.72/x
3. Step 3: Cross multiply
   2,075.80x = 3,114.96 × 1,102.72
4. Step 4: Simplify right side
   2,075.80x = 3,434,928.69
5. Step 5: Solve for x
   x = 3,434,928.69/2,075.80
6. Step 6: Final answer
   x = 1,654.75