Finding the Fourth Proportional to 1,693.51, 2,538.20 and 768.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.51 : 2,538.20 = 768.83 : x
2. Step 2: Convert to fraction form
   1,693.51/2,538.20 = 768.83/x
3. Step 3: Cross multiply
   1,693.51x = 2,538.20 × 768.83
4. Step 4: Simplify right side
   1,693.51x = 1,951,433.54
5. Step 5: Solve for x
   x = 1,951,433.54/1,693.51
6. Step 6: Final answer
   x = 1,152.30