Finding the Fourth Proportional to 1,164.49, 1,606.10 and 849.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.49 : 1,606.10 = 849.63 : x
2. Step 2: Convert to fraction form
   1,164.49/1,606.10 = 849.63/x
3. Step 3: Cross multiply
   1,164.49x = 1,606.10 × 849.63
4. Step 4: Simplify right side
   1,164.49x = 1,364,583.48
5. Step 5: Solve for x
   x = 1,364,583.48/1,164.49
6. Step 6: Final answer
   x = 1,171.83