Finding the Fourth Proportional to 3,164.56, 4,742.71 and 2,290.01

Step by Step Solution

1. Step 1: Write the proportion equation
   3,164.56 : 4,742.71 = 2,290.01 : x
2. Step 2: Convert to fraction form
   3,164.56/4,742.71 = 2,290.01/x
3. Step 3: Cross multiply
   3,164.56x = 4,742.71 × 2,290.01
4. Step 4: Simplify right side
   3,164.56x = 10,860,823.89
5. Step 5: Solve for x
   x = 10,860,823.89/3,164.56
6. Step 6: Final answer
   x = 3,432.02