Finding the Fourth Proportional to 2,570.76, 3,857.52 and 1,109.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.76 : 3,857.52 = 1,109.80 : x
2. Step 2: Convert to fraction form
   2,570.76/3,857.52 = 1,109.80/x
3. Step 3: Cross multiply
   2,570.76x = 3,857.52 × 1,109.80
4. Step 4: Simplify right side
   2,570.76x = 4,281,075.70
5. Step 5: Solve for x
   x = 4,281,075.70/2,570.76
6. Step 6: Final answer
   x = 1,665.30