Finding the Fourth Proportional to 2,886.48, 3,980.16 and 1,892.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886.48 : 3,980.16 = 1,892.16 : x
2. Step 2: Convert to fraction form
   2,886.48/3,980.16 = 1,892.16/x
3. Step 3: Cross multiply
   2,886.48x = 3,980.16 × 1,892.16
4. Step 4: Simplify right side
   2,886.48x = 7,531,099.55
5. Step 5: Solve for x
   x = 7,531,099.55/2,886.48
6. Step 6: Final answer
   x = 2,609.09