Finding the Fourth Proportional to 1,505.55, 2,077.56 and 842.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.55 : 2,077.56 = 842.29 : x
2. Step 2: Convert to fraction form
   1,505.55/2,077.56 = 842.29/x
3. Step 3: Cross multiply
   1,505.55x = 2,077.56 × 842.29
4. Step 4: Simplify right side
   1,505.55x = 1,749,908.01
5. Step 5: Solve for x
   x = 1,749,908.01/1,505.55
6. Step 6: Final answer
   x = 1,162.30