Finding the Fourth Proportional to 1,762, 2,644.72 and 1,114.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762 : 2,644.72 = 1,114.32 : x
2. Step 2: Convert to fraction form
   1,762/2,644.72 = 1,114.32/x
3. Step 3: Cross multiply
   1,762x = 2,644.72 × 1,114.32
4. Step 4: Simplify right side
   1,762x = 2,947,064.39
5. Step 5: Solve for x
   x = 2,947,064.39/1,762
6. Step 6: Final answer
   x = 1,672.57