Finding the Fourth Proportional to 1,509.50, 2,083.15 and 846.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.50 : 2,083.15 = 846.34 : x
2. Step 2: Convert to fraction form
   1,509.50/2,083.15 = 846.34/x
3. Step 3: Cross multiply
   1,509.50x = 2,083.15 × 846.34
4. Step 4: Simplify right side
   1,509.50x = 1,763,045.85
5. Step 5: Solve for x
   x = 1,763,045.85/1,509.50
6. Step 6: Final answer
   x = 1,167.97