Finding the Fourth Proportional to 3,685.03, 5,076.69 and 2,564.04

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.03 : 5,076.69 = 2,564.04 : x
2. Step 2: Convert to fraction form
   3,685.03/5,076.69 = 2,564.04/x
3. Step 3: Cross multiply
   3,685.03x = 5,076.69 × 2,564.04
4. Step 4: Simplify right side
   3,685.03x = 13,016,798.02
5. Step 5: Solve for x
   x = 13,016,798.02/3,685.03
6. Step 6: Final answer
   x = 3,532.35