Finding the Fourth Proportional to 1,365.80, 1,882.89 and 1,155.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.80 : 1,882.89 = 1,155.13 : x
2. Step 2: Convert to fraction form
   1,365.80/1,882.89 = 1,155.13/x
3. Step 3: Cross multiply
   1,365.80x = 1,882.89 × 1,155.13
4. Step 4: Simplify right side
   1,365.80x = 2,174,978.02
5. Step 5: Solve for x
   x = 2,174,978.02/1,365.80
6. Step 6: Final answer
   x = 1,592.45