Finding the Fourth Proportional to 1,271.34, 1,905.47 and 577.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.34 : 1,905.47 = 577.31 : x
2. Step 2: Convert to fraction form
   1,271.34/1,905.47 = 577.31/x
3. Step 3: Cross multiply
   1,271.34x = 1,905.47 × 577.31
4. Step 4: Simplify right side
   1,271.34x = 1,100,050.60
5. Step 5: Solve for x
   x = 1,100,050.60/1,271.34
6. Step 6: Final answer
   x = 865.27