Finding the Fourth Proportional to 1,164.34, 1,606.89 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.34 : 1,606.89 = 766.02 : x
2. Step 2: Convert to fraction form
   1,164.34/1,606.89 = 766.02/x
3. Step 3: Cross multiply
   1,164.34x = 1,606.89 × 766.02
4. Step 4: Simplify right side
   1,164.34x = 1,230,909.88
5. Step 5: Solve for x
   x = 1,230,909.88/1,164.34
6. Step 6: Final answer
   x = 1,057.17