Finding the Fourth Proportional to 1,354.89, 1,862.56 and 1,165.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.89 : 1,862.56 = 1,165.13 : x
2. Step 2: Convert to fraction form
   1,354.89/1,862.56 = 1,165.13/x
3. Step 3: Cross multiply
   1,354.89x = 1,862.56 × 1,165.13
4. Step 4: Simplify right side
   1,354.89x = 2,170,130.50
5. Step 5: Solve for x
   x = 2,170,130.50/1,354.89
6. Step 6: Final answer
   x = 1,601.71