Finding the Fourth Proportional to 1,263.63, 1,743.33 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,263.63 : 1,743.33 = 766.10 : x
2. Step 2: Convert to fraction form
   1,263.63/1,743.33 = 766.10/x
3. Step 3: Cross multiply
   1,263.63x = 1,743.33 × 766.10
4. Step 4: Simplify right side
   1,263.63x = 1,335,556.40
5. Step 5: Solve for x
   x = 1,335,556.40/1,263.63
6. Step 6: Final answer
   x = 1,056.92