Finding the Fourth Proportional to 1,064.30, 1,465.71 and 769.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.30 : 1,465.71 = 769.10 : x
2. Step 2: Convert to fraction form
   1,064.30/1,465.71 = 769.10/x
3. Step 3: Cross multiply
   1,064.30x = 1,465.71 × 769.10
4. Step 4: Simplify right side
   1,064.30x = 1,127,277.56
5. Step 5: Solve for x
   x = 1,127,277.56/1,064.30
6. Step 6: Final answer
   x = 1,059.17