Finding the Fourth Proportional to 1,566.78, 2,345.35 and 1,123.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.78 : 2,345.35 = 1,123.92 : x
2. Step 2: Convert to fraction form
   1,566.78/2,345.35 = 1,123.92/x
3. Step 3: Cross multiply
   1,566.78x = 2,345.35 × 1,123.92
4. Step 4: Simplify right side
   1,566.78x = 2,635,985.77
5. Step 5: Solve for x
   x = 2,635,985.77/1,566.78
6. Step 6: Final answer
   x = 1,682.42