Finding the Fourth Proportional to 1,384.62, 2,074.89 and 767.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.62 : 2,074.89 = 767.58 : x
2. Step 2: Convert to fraction form
   1,384.62/2,074.89 = 767.58/x
3. Step 3: Cross multiply
   1,384.62x = 2,074.89 × 767.58
4. Step 4: Simplify right side
   1,384.62x = 1,592,644.07
5. Step 5: Solve for x
   x = 1,592,644.07/1,384.62
6. Step 6: Final answer
   x = 1,150.24