Finding the Fourth Proportional to 1,589.89, 2,385.65 and 768.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.89 : 2,385.65 = 768.87 : x
2. Step 2: Convert to fraction form
   1,589.89/2,385.65 = 768.87/x
3. Step 3: Cross multiply
   1,589.89x = 2,385.65 × 768.87
4. Step 4: Simplify right side
   1,589.89x = 1,834,254.72
5. Step 5: Solve for x
   x = 1,834,254.72/1,589.89
6. Step 6: Final answer
   x = 1,153.70