Finding the Fourth Proportional to 1,114.89, 1,540.47 and 1,075.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.89 : 1,540.47 = 1,075.47 : x
2. Step 2: Convert to fraction form
   1,114.89/1,540.47 = 1,075.47/x
3. Step 3: Cross multiply
   1,114.89x = 1,540.47 × 1,075.47
4. Step 4: Simplify right side
   1,114.89x = 1,656,729.27
5. Step 5: Solve for x
   x = 1,656,729.27/1,114.89
6. Step 6: Final answer
   x = 1,486.00