Finding the Fourth Proportional to 1,164.65, 1,605.89 and 849.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.65 : 1,605.89 = 849.35 : x
2. Step 2: Convert to fraction form
   1,164.65/1,605.89 = 849.35/x
3. Step 3: Cross multiply
   1,164.65x = 1,605.89 × 849.35
4. Step 4: Simplify right side
   1,164.65x = 1,363,968.81
5. Step 5: Solve for x
   x = 1,363,968.81/1,164.65
6. Step 6: Final answer
   x = 1,171.15