Finding the Fourth Proportional to 1,590.69, 2,386.41 and 768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,590.69 : 2,386.41 = 768.75 : x
2. Step 2: Convert to fraction form
   1,590.69/2,386.41 = 768.75/x
3. Step 3: Cross multiply
   1,590.69x = 2,386.41 × 768.75
4. Step 4: Simplify right side
   1,590.69x = 1,834,552.69
5. Step 5: Solve for x
   x = 1,834,552.69/1,590.69
6. Step 6: Final answer
   x = 1,153.31