Finding the Fourth Proportional to 2,152.76, 3,226.38 and 1,566.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.76 : 3,226.38 = 1,566.28 : x
2. Step 2: Convert to fraction form
   2,152.76/3,226.38 = 1,566.28/x
3. Step 3: Cross multiply
   2,152.76x = 3,226.38 × 1,566.28
4. Step 4: Simplify right side
   2,152.76x = 5,053,414.47
5. Step 5: Solve for x
   x = 5,053,414.47/2,152.76
6. Step 6: Final answer
   x = 2,347.41