Finding the Fourth Proportional to 2,115.86, 3,175.16 and 946.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,115.86 : 3,175.16 = 946.58 : x
2. Step 2: Convert to fraction form
   2,115.86/3,175.16 = 946.58/x
3. Step 3: Cross multiply
   2,115.86x = 3,175.16 × 946.58
4. Step 4: Simplify right side
   2,115.86x = 3,005,522.34
5. Step 5: Solve for x
   x = 3,005,522.34/2,115.86
6. Step 6: Final answer
   x = 1,420.48