Finding the Fourth Proportional to 1,576.86, 2,364.57 and 846.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,576.86 : 2,364.57 = 846.24 : x
2. Step 2: Convert to fraction form
   1,576.86/2,364.57 = 846.24/x
3. Step 3: Cross multiply
   1,576.86x = 2,364.57 × 846.24
4. Step 4: Simplify right side
   1,576.86x = 2,000,993.72
5. Step 5: Solve for x
   x = 2,000,993.72/1,576.86
6. Step 6: Final answer
   x = 1,268.97