Finding the Fourth Proportional to 1,042.22, 1,564.34 and 767.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.22 : 1,564.34 = 767.53 : x
2. Step 2: Convert to fraction form
   1,042.22/1,564.34 = 767.53/x
3. Step 3: Cross multiply
   1,042.22x = 1,564.34 × 767.53
4. Step 4: Simplify right side
   1,042.22x = 1,200,677.88
5. Step 5: Solve for x
   x = 1,200,677.88/1,042.22
6. Step 6: Final answer
   x = 1,152.04