Finding the Fourth Proportional to 1,164.34, 1,606.86 and 770.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.34 : 1,606.86 = 770.68 : x
2. Step 2: Convert to fraction form
   1,164.34/1,606.86 = 770.68/x
3. Step 3: Cross multiply
   1,164.34x = 1,606.86 × 770.68
4. Step 4: Simplify right side
   1,164.34x = 1,238,374.86
5. Step 5: Solve for x
   x = 1,238,374.86/1,164.34
6. Step 6: Final answer
   x = 1,063.59