Finding the Fourth Proportional to 1,408.64, 2,111.76 and 543.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.64 : 2,111.76 = 543.56 : x
2. Step 2: Convert to fraction form
   1,408.64/2,111.76 = 543.56/x
3. Step 3: Cross multiply
   1,408.64x = 2,111.76 × 543.56
4. Step 4: Simplify right side
   1,408.64x = 1,147,868.27
5. Step 5: Solve for x
   x = 1,147,868.27/1,408.64
6. Step 6: Final answer
   x = 814.88