Finding the Fourth Proportional to 1,354.36, 1,865.82 and 1,116.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.36 : 1,865.82 = 1,116.76 : x
2. Step 2: Convert to fraction form
   1,354.36/1,865.82 = 1,116.76/x
3. Step 3: Cross multiply
   1,354.36x = 1,865.82 × 1,116.76
4. Step 4: Simplify right side
   1,354.36x = 2,083,673.14
5. Step 5: Solve for x
   x = 2,083,673.14/1,354.36
6. Step 6: Final answer
   x = 1,538.49