Finding the Fourth Proportional to 3,870.52, 5,341.32 and 2,102.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.52 : 5,341.32 = 2,102.16 : x
2. Step 2: Convert to fraction form
   3,870.52/5,341.32 = 2,102.16/x
3. Step 3: Cross multiply
   3,870.52x = 5,341.32 × 2,102.16
4. Step 4: Simplify right side
   3,870.52x = 11,228,309.25
5. Step 5: Solve for x
   x = 11,228,309.25/3,870.52
6. Step 6: Final answer
   x = 2,900.98