Finding the Fourth Proportional to 1,584.72, 2,186.93 and 886.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.72 : 2,186.93 = 886.10 : x
2. Step 2: Convert to fraction form
   1,584.72/2,186.93 = 886.10/x
3. Step 3: Cross multiply
   1,584.72x = 2,186.93 × 886.10
4. Step 4: Simplify right side
   1,584.72x = 1,937,838.15
5. Step 5: Solve for x
   x = 1,937,838.15/1,584.72
6. Step 6: Final answer
   x = 1,222.82