Finding the Fourth Proportional to 1,162.50, 1,601.42 and 846.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.50 : 1,601.42 = 846.96 : x
2. Step 2: Convert to fraction form
   1,162.50/1,601.42 = 846.96/x
3. Step 3: Cross multiply
   1,162.50x = 1,601.42 × 846.96
4. Step 4: Simplify right side
   1,162.50x = 1,356,333.21
5. Step 5: Solve for x
   x = 1,356,333.21/1,162.50
6. Step 6: Final answer
   x = 1,166.74