Finding the Fourth Proportional to 1,542.69, 2,128.86 and 844.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.69 : 2,128.86 = 844.05 : x
2. Step 2: Convert to fraction form
   1,542.69/2,128.86 = 844.05/x
3. Step 3: Cross multiply
   1,542.69x = 2,128.86 × 844.05
4. Step 4: Simplify right side
   1,542.69x = 1,796,864.28
5. Step 5: Solve for x
   x = 1,796,864.28/1,542.69
6. Step 6: Final answer
   x = 1,164.76