Finding the Fourth Proportional to 1,411.16, 1,946.16 and 1,115.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.16 : 1,946.16 = 1,115.91 : x
2. Step 2: Convert to fraction form
   1,411.16/1,946.16 = 1,115.91/x
3. Step 3: Cross multiply
   1,411.16x = 1,946.16 × 1,115.91
4. Step 4: Simplify right side
   1,411.16x = 2,171,739.41
5. Step 5: Solve for x
   x = 2,171,739.41/1,411.16
6. Step 6: Final answer
   x = 1,538.98