Finding the Fourth Proportional to 1,064.87, 1,599.63 and 758.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.87 : 1,599.63 = 758.69 : x
2. Step 2: Convert to fraction form
   1,064.87/1,599.63 = 758.69/x
3. Step 3: Cross multiply
   1,064.87x = 1,599.63 × 758.69
4. Step 4: Simplify right side
   1,064.87x = 1,213,622.71
5. Step 5: Solve for x
   x = 1,213,622.71/1,064.87
6. Step 6: Final answer
   x = 1,139.69