Finding the Fourth Proportional to 1,146.30, 1,589.69 and 1,092.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.30 : 1,589.69 = 1,092.30 : x
2. Step 2: Convert to fraction form
   1,146.30/1,589.69 = 1,092.30/x
3. Step 3: Cross multiply
   1,146.30x = 1,589.69 × 1,092.30
4. Step 4: Simplify right side
   1,146.30x = 1,736,412.93
5. Step 5: Solve for x
   x = 1,736,412.93/1,146.30
6. Step 6: Final answer
   x = 1,514.80