Finding the Fourth Proportional to 1,385.58, 1,911.42 and 854.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.58 : 1,911.42 = 854.63 : x
2. Step 2: Convert to fraction form
   1,385.58/1,911.42 = 854.63/x
3. Step 3: Cross multiply
   1,385.58x = 1,911.42 × 854.63
4. Step 4: Simplify right side
   1,385.58x = 1,633,547.32
5. Step 5: Solve for x
   x = 1,633,547.32/1,385.58
6. Step 6: Final answer
   x = 1,178.96