Finding the Fourth Proportional to 1,589.02, 2,384.52 and 768.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.02 : 2,384.52 = 768.15 : x
2. Step 2: Convert to fraction form
   1,589.02/2,384.52 = 768.15/x
3. Step 3: Cross multiply
   1,589.02x = 2,384.52 × 768.15
4. Step 4: Simplify right side
   1,589.02x = 1,831,669.04
5. Step 5: Solve for x
   x = 1,831,669.04/1,589.02
6. Step 6: Final answer
   x = 1,152.70