Finding the Fourth Proportional to 2,148.06, 3,222.50 and 686.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148.06 : 3,222.50 = 686.82 : x
2. Step 2: Convert to fraction form
   2,148.06/3,222.50 = 686.82/x
3. Step 3: Cross multiply
   2,148.06x = 3,222.50 × 686.82
4. Step 4: Simplify right side
   2,148.06x = 2,213,274.02
5. Step 5: Solve for x
   x = 2,213,274.02/2,148.06
6. Step 6: Final answer
   x = 1,030.36