Finding the Fourth Proportional to 3,875.24, 5,347.82 and 2,106.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.24 : 5,347.82 = 2,106.86 : x
2. Step 2: Convert to fraction form
   3,875.24/5,347.82 = 2,106.86/x
3. Step 3: Cross multiply
   3,875.24x = 5,347.82 × 2,106.86
4. Step 4: Simplify right side
   3,875.24x = 11,267,086.57
5. Step 5: Solve for x
   x = 11,267,086.57/3,875.24
6. Step 6: Final answer
   x = 2,907.45