Finding the Fourth Proportional to 1,162.02, 1,602.76 and 769.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.02 : 1,602.76 = 769.58 : x
2. Step 2: Convert to fraction form
   1,162.02/1,602.76 = 769.58/x
3. Step 3: Cross multiply
   1,162.02x = 1,602.76 × 769.58
4. Step 4: Simplify right side
   1,162.02x = 1,233,452.04
5. Step 5: Solve for x
   x = 1,233,452.04/1,162.02
6. Step 6: Final answer
   x = 1,061.47