Finding the Fourth Proportional to 1,505.34, 2,077.20 and 842.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.34 : 2,077.20 = 842.22 : x
2. Step 2: Convert to fraction form
   1,505.34/2,077.20 = 842.22/x
3. Step 3: Cross multiply
   1,505.34x = 2,077.20 × 842.22
4. Step 4: Simplify right side
   1,505.34x = 1,749,459.38
5. Step 5: Solve for x
   x = 1,749,459.38/1,505.34
6. Step 6: Final answer
   x = 1,162.17