Finding the Fourth Proportional to 849.57, 1,164.89 and 766.32

Step by Step Solution

1. Step 1: Write the proportion equation
   849.57 : 1,164.89 = 766.32 : x
2. Step 2: Convert to fraction form
   849.57/1,164.89 = 766.32/x
3. Step 3: Cross multiply
   849.57x = 1,164.89 × 766.32
4. Step 4: Simplify right side
   849.57x = 892,678.50
5. Step 5: Solve for x
   x = 892,678.50/849.57
6. Step 6: Final answer
   x = 1,050.74