Finding the Fourth Proportional to 1,591.50, 2,385.60 and 768.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.50 : 2,385.60 = 768.06 : x
2. Step 2: Convert to fraction form
   1,591.50/2,385.60 = 768.06/x
3. Step 3: Cross multiply
   1,591.50x = 2,385.60 × 768.06
4. Step 4: Simplify right side
   1,591.50x = 1,832,283.94
5. Step 5: Solve for x
   x = 1,832,283.94/1,591.50
6. Step 6: Final answer
   x = 1,151.29