Finding the Fourth Proportional to 1,645.89, 2,271.35 and 1,114.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.89 : 2,271.35 = 1,114.94 : x
2. Step 2: Convert to fraction form
   1,645.89/2,271.35 = 1,114.94/x
3. Step 3: Cross multiply
   1,645.89x = 2,271.35 × 1,114.94
4. Step 4: Simplify right side
   1,645.89x = 2,532,410.40
5. Step 5: Solve for x
   x = 2,532,410.40/1,645.89
6. Step 6: Final answer
   x = 1,538.63