Finding the Fourth Proportional to 1,096.34, 1,514.50 and 764.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.34 : 1,514.50 = 764.64 : x
2. Step 2: Convert to fraction form
   1,096.34/1,514.50 = 764.64/x
3. Step 3: Cross multiply
   1,096.34x = 1,514.50 × 764.64
4. Step 4: Simplify right side
   1,096.34x = 1,158,045.37
5. Step 5: Solve for x
   x = 1,158,045.37/1,096.34
6. Step 6: Final answer
   x = 1,056.29