Finding the Fourth Proportional to 1,002.92, 1,385.94 and 853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.92 : 1,385.94 = 853.50 : x
2. Step 2: Convert to fraction form
   1,002.92/1,385.94 = 853.50/x
3. Step 3: Cross multiply
   1,002.92x = 1,385.94 × 853.50
4. Step 4: Simplify right side
   1,002.92x = 1,182,899.79
5. Step 5: Solve for x
   x = 1,182,899.79/1,002.92
6. Step 6: Final answer
   x = 1,179.46