Finding the Fourth Proportional to 1,505.61, 2,077.83 and 842.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.61 : 2,077.83 = 842.43 : x
2. Step 2: Convert to fraction form
   1,505.61/2,077.83 = 842.43/x
3. Step 3: Cross multiply
   1,505.61x = 2,077.83 × 842.43
4. Step 4: Simplify right side
   1,505.61x = 1,750,426.33
5. Step 5: Solve for x
   x = 1,750,426.33/1,505.61
6. Step 6: Final answer
   x = 1,162.60