Finding the Fourth Proportional to 1,920.78, 2,648.25 and 1,566.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,920.78 : 2,648.25 = 1,566.30 : x
2. Step 2: Convert to fraction form
   1,920.78/2,648.25 = 1,566.30/x
3. Step 3: Cross multiply
   1,920.78x = 2,648.25 × 1,566.30
4. Step 4: Simplify right side
   1,920.78x = 4,147,953.98
5. Step 5: Solve for x
   x = 4,147,953.98/1,920.78
6. Step 6: Final answer
   x = 2,159.52