Finding the Fourth Proportional to 1,174.59, 1,760.61 and 764.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174.59 : 1,760.61 = 764.02 : x
2. Step 2: Convert to fraction form
   1,174.59/1,760.61 = 764.02/x
3. Step 3: Cross multiply
   1,174.59x = 1,760.61 × 764.02
4. Step 4: Simplify right side
   1,174.59x = 1,345,141.25
5. Step 5: Solve for x
   x = 1,345,141.25/1,174.59
6. Step 6: Final answer
   x = 1,145.20