Finding the Fourth Proportional to 1,584.72, 2,186.86 and 876.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.72 : 2,186.86 = 876.62 : x
2. Step 2: Convert to fraction form
   1,584.72/2,186.86 = 876.62/x
3. Step 3: Cross multiply
   1,584.72x = 2,186.86 × 876.62
4. Step 4: Simplify right side
   1,584.72x = 1,917,045.21
5. Step 5: Solve for x
   x = 1,917,045.21/1,584.72
6. Step 6: Final answer
   x = 1,209.71