Finding the Fourth Proportional to 1,776.21, 2,452.71 and 1,114.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.21 : 2,452.71 = 1,114.20 : x
2. Step 2: Convert to fraction form
   1,776.21/2,452.71 = 1,114.20/x
3. Step 3: Cross multiply
   1,776.21x = 2,452.71 × 1,114.20
4. Step 4: Simplify right side
   1,776.21x = 2,732,809.48
5. Step 5: Solve for x
   x = 2,732,809.48/1,776.21
6. Step 6: Final answer
   x = 1,538.56