Finding the Fourth Proportional to 2,123.96, 2,932.47 and 1,565.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.96 : 2,932.47 = 1,565.06 : x
2. Step 2: Convert to fraction form
   2,123.96/2,932.47 = 1,565.06/x
3. Step 3: Cross multiply
   2,123.96x = 2,932.47 × 1,565.06
4. Step 4: Simplify right side
   2,123.96x = 4,589,476.84
5. Step 5: Solve for x
   x = 4,589,476.84/2,123.96
6. Step 6: Final answer
   x = 2,160.82