Finding the Fourth Proportional to 1,185.51, 1,635.42 and 766.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.51 : 1,635.42 = 766.22 : x
2. Step 2: Convert to fraction form
   1,185.51/1,635.42 = 766.22/x
3. Step 3: Cross multiply
   1,185.51x = 1,635.42 × 766.22
4. Step 4: Simplify right side
   1,185.51x = 1,253,079.50
5. Step 5: Solve for x
   x = 1,253,079.50/1,185.51
6. Step 6: Final answer
   x = 1,057.00