Finding the Fourth Proportional to 2,174.60, 3,260.72 and 768.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.60 : 3,260.72 = 768.32 : x
2. Step 2: Convert to fraction form
   2,174.60/3,260.72 = 768.32/x
3. Step 3: Cross multiply
   2,174.60x = 3,260.72 × 768.32
4. Step 4: Simplify right side
   2,174.60x = 2,505,256.25
5. Step 5: Solve for x
   x = 2,505,256.25/2,174.60
6. Step 6: Final answer
   x = 1,152.06