Finding the Fourth Proportional to 1,477.80, 2,034.72 and 1,256.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.80 : 2,034.72 = 1,256.40 : x
2. Step 2: Convert to fraction form
   1,477.80/2,034.72 = 1,256.40/x
3. Step 3: Cross multiply
   1,477.80x = 2,034.72 × 1,256.40
4. Step 4: Simplify right side
   1,477.80x = 2,556,422.21
5. Step 5: Solve for x
   x = 2,556,422.21/1,477.80
6. Step 6: Final answer
   x = 1,729.88