Finding the Fourth Proportional to 1,166.00, 1,606.84 and 772.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.00 : 1,606.84 = 772.34 : x
2. Step 2: Convert to fraction form
   1,166.00/1,606.84 = 772.34/x
3. Step 3: Cross multiply
   1,166.00x = 1,606.84 × 772.34
4. Step 4: Simplify right side
   1,166.00x = 1,241,016.84
5. Step 5: Solve for x
   x = 1,241,016.84/1,166.00
6. Step 6: Final answer
   x = 1,064.34