Finding the Fourth Proportional to 1,411.69, 1,948.13 and 859.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.69 : 1,948.13 = 859.69 : x
2. Step 2: Convert to fraction form
   1,411.69/1,948.13 = 859.69/x
3. Step 3: Cross multiply
   1,411.69x = 1,948.13 × 859.69
4. Step 4: Simplify right side
   1,411.69x = 1,674,781.93
5. Step 5: Solve for x
   x = 1,674,781.93/1,411.69
6. Step 6: Final answer
   x = 1,186.37