Finding the Fourth Proportional to 1,164.74, 1,606.30 and 827.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.74 : 1,606.30 = 827.98 : x
2. Step 2: Convert to fraction form
   1,164.74/1,606.30 = 827.98/x
3. Step 3: Cross multiply
   1,164.74x = 1,606.30 × 827.98
4. Step 4: Simplify right side
   1,164.74x = 1,329,984.27
5. Step 5: Solve for x
   x = 1,329,984.27/1,164.74
6. Step 6: Final answer
   x = 1,141.87