Finding the Fourth Proportional to 1,165.50, 1,607.42 and 851.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 1,607.42 = 851.88 : x
2. Step 2: Convert to fraction form
   1,165.50/1,607.42 = 851.88/x
3. Step 3: Cross multiply
   1,165.50x = 1,607.42 × 851.88
4. Step 4: Simplify right side
   1,165.50x = 1,369,328.95
5. Step 5: Solve for x
   x = 1,369,328.95/1,165.50
6. Step 6: Final answer
   x = 1,174.89