Finding the Fourth Proportional to 1,706.72, 2,557.28 and 1,642.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.72 : 2,557.28 = 1,642.76 : x
2. Step 2: Convert to fraction form
   1,706.72/2,557.28 = 1,642.76/x
3. Step 3: Cross multiply
   1,706.72x = 2,557.28 × 1,642.76
4. Step 4: Simplify right side
   1,706.72x = 4,200,997.29
5. Step 5: Solve for x
   x = 4,200,997.29/1,706.72
6. Step 6: Final answer
   x = 2,461.44