Finding the Fourth Proportional to 1,116, 1,540.62 and 853.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116 : 1,540.62 = 853.56 : x
2. Step 2: Convert to fraction form
   1,116/1,540.62 = 853.56/x
3. Step 3: Cross multiply
   1,116x = 1,540.62 × 853.56
4. Step 4: Simplify right side
   1,116x = 1,315,011.61
5. Step 5: Solve for x
   x = 1,315,011.61/1,116
6. Step 6: Final answer
   x = 1,178.33