Finding the Fourth Proportional to 2,365.31, 3,548.53 and 1,066.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.31 : 3,548.53 = 1,066.78 : x
2. Step 2: Convert to fraction form
   2,365.31/3,548.53 = 1,066.78/x
3. Step 3: Cross multiply
   2,365.31x = 3,548.53 × 1,066.78
4. Step 4: Simplify right side
   2,365.31x = 3,785,483.09
5. Step 5: Solve for x
   x = 3,785,483.09/2,365.31
6. Step 6: Final answer
   x = 1,600.42