Finding the Fourth Proportional to 2,969.47, 4,090.90 and 2,071.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969.47 : 4,090.90 = 2,071.57 : x
2. Step 2: Convert to fraction form
   2,969.47/4,090.90 = 2,071.57/x
3. Step 3: Cross multiply
   2,969.47x = 4,090.90 × 2,071.57
4. Step 4: Simplify right side
   2,969.47x = 8,474,585.71
5. Step 5: Solve for x
   x = 8,474,585.71/2,969.47
6. Step 6: Final answer
   x = 2,853.91