Finding the Fourth Proportional to 1,206.52, 1,665.22 and 764.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.52 : 1,665.22 = 764.12 : x
2. Step 2: Convert to fraction form
   1,206.52/1,665.22 = 764.12/x
3. Step 3: Cross multiply
   1,206.52x = 1,665.22 × 764.12
4. Step 4: Simplify right side
   1,206.52x = 1,272,427.91
5. Step 5: Solve for x
   x = 1,272,427.91/1,206.52
6. Step 6: Final answer
   x = 1,054.63