Finding the Fourth Proportional to 3,758.52, 5,186.78 and 2,102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.52 : 5,186.78 = 2,102.52 : x
2. Step 2: Convert to fraction form
   3,758.52/5,186.78 = 2,102.52/x
3. Step 3: Cross multiply
   3,758.52x = 5,186.78 × 2,102.52
4. Step 4: Simplify right side
   3,758.52x = 10,905,308.69
5. Step 5: Solve for x
   x = 10,905,308.69/3,758.52
6. Step 6: Final answer
   x = 2,901.49