Finding the Fourth Proportional to 2,892.78, 3,992.06 and 1,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.78 : 3,992.06 = 1,566.50 : x
2. Step 2: Convert to fraction form
   2,892.78/3,992.06 = 1,566.50/x
3. Step 3: Cross multiply
   2,892.78x = 3,992.06 × 1,566.50
4. Step 4: Simplify right side
   2,892.78x = 6,253,534.20
5. Step 5: Solve for x
   x = 6,253,534.20/2,892.78
6. Step 6: Final answer
   x = 2,161.77