Finding the Fourth Proportional to 3,897.02, 5,834.00 and 2,506.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.02 : 5,834.00 = 2,506.23 : x
2. Step 2: Convert to fraction form
   3,897.02/5,834.00 = 2,506.23/x
3. Step 3: Cross multiply
   3,897.02x = 5,834.00 × 2,506.23
4. Step 4: Simplify right side
   3,897.02x = 14,621,333.29
5. Step 5: Solve for x
   x = 14,621,333.29/3,897.02
6. Step 6: Final answer
   x = 3,751.93