Finding the Fourth Proportional to 2,892.39, 3,991.52 and 1,566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.39 : 3,991.52 = 1,566.10 : x
2. Step 2: Convert to fraction form
   2,892.39/3,991.52 = 1,566.10/x
3. Step 3: Cross multiply
   2,892.39x = 3,991.52 × 1,566.10
4. Step 4: Simplify right side
   2,892.39x = 6,251,119.47
5. Step 5: Solve for x
   x = 6,251,119.47/2,892.39
6. Step 6: Final answer
   x = 2,161.23