Finding the Fourth Proportional to 2,706.86, 3,732.71 and 2,646.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.86 : 3,732.71 = 2,646.52 : x
2. Step 2: Convert to fraction form
   2,706.86/3,732.71 = 2,646.52/x
3. Step 3: Cross multiply
   2,706.86x = 3,732.71 × 2,646.52
4. Step 4: Simplify right side
   2,706.86x = 9,878,669.10
5. Step 5: Solve for x
   x = 9,878,669.10/2,706.86
6. Step 6: Final answer
   x = 3,649.49