Finding the Fourth Proportional to 1,562.68, 2,156.55 and 854.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.68 : 2,156.55 = 854.57 : x
2. Step 2: Convert to fraction form
   1,562.68/2,156.55 = 854.57/x
3. Step 3: Cross multiply
   1,562.68x = 2,156.55 × 854.57
4. Step 4: Simplify right side
   1,562.68x = 1,842,922.37
5. Step 5: Solve for x
   x = 1,842,922.37/1,562.68
6. Step 6: Final answer
   x = 1,179.34