Finding the Fourth Proportional to 3,870.50, 5,341.10 and 2,102.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.50 : 5,341.10 = 2,102.06 : x
2. Step 2: Convert to fraction form
   3,870.50/5,341.10 = 2,102.06/x
3. Step 3: Cross multiply
   3,870.50x = 5,341.10 × 2,102.06
4. Step 4: Simplify right side
   3,870.50x = 11,227,275.45
5. Step 5: Solve for x
   x = 11,227,275.45/3,870.50
6. Step 6: Final answer
   x = 2,900.73