Finding the Fourth Proportional to 1,586.34, 2,374.56 and 854.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.34 : 2,374.56 = 854.10 : x
2. Step 2: Convert to fraction form
   1,586.34/2,374.56 = 854.10/x
3. Step 3: Cross multiply
   1,586.34x = 2,374.56 × 854.10
4. Step 4: Simplify right side
   1,586.34x = 2,028,111.70
5. Step 5: Solve for x
   x = 2,028,111.70/1,586.34
6. Step 6: Final answer
   x = 1,278.48