Finding the Fourth Proportional to 1,591.37, 2,388.59 and 770.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.37 : 2,388.59 = 770.22 : x
2. Step 2: Convert to fraction form
   1,591.37/2,388.59 = 770.22/x
3. Step 3: Cross multiply
   1,591.37x = 2,388.59 × 770.22
4. Step 4: Simplify right side
   1,591.37x = 1,839,735.94
5. Step 5: Solve for x
   x = 1,839,735.94/1,591.37
6. Step 6: Final answer
   x = 1,156.07