Finding the Fourth Proportional to 1,365.51, 1,882.87 and 1,116.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.51 : 1,882.87 = 1,116.05 : x
2. Step 2: Convert to fraction form
   1,365.51/1,882.87 = 1,116.05/x
3. Step 3: Cross multiply
   1,365.51x = 1,882.87 × 1,116.05
4. Step 4: Simplify right side
   1,365.51x = 2,101,383.88
5. Step 5: Solve for x
   x = 2,101,383.88/1,365.51
6. Step 6: Final answer
   x = 1,538.90