Finding the Fourth Proportional to 1,009.69, 1,514.54 and 598.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.69 : 1,514.54 = 598.61 : x
2. Step 2: Convert to fraction form
   1,009.69/1,514.54 = 598.61/x
3. Step 3: Cross multiply
   1,009.69x = 1,514.54 × 598.61
4. Step 4: Simplify right side
   1,009.69x = 906,612.59
5. Step 5: Solve for x
   x = 906,612.59/1,009.69
6. Step 6: Final answer
   x = 897.91