Finding the Fourth Proportional to 1,314.81, 1,973.37 and 766.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.81 : 1,973.37 = 766.23 : x
2. Step 2: Convert to fraction form
   1,314.81/1,973.37 = 766.23/x
3. Step 3: Cross multiply
   1,314.81x = 1,973.37 × 766.23
4. Step 4: Simplify right side
   1,314.81x = 1,512,055.30
5. Step 5: Solve for x
   x = 1,512,055.30/1,314.81
6. Step 6: Final answer
   x = 1,150.02