Finding the Fourth Proportional to 1,385.51, 2,076.84 and 769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.51 : 2,076.84 = 769.50 : x
2. Step 2: Convert to fraction form
   1,385.51/2,076.84 = 769.50/x
3. Step 3: Cross multiply
   1,385.51x = 2,076.84 × 769.50
4. Step 4: Simplify right side
   1,385.51x = 1,598,128.38
5. Step 5: Solve for x
   x = 1,598,128.38/1,385.51
6. Step 6: Final answer
   x = 1,153.46