Finding the Fourth Proportional to 1,461.86, 2,181.53 and 1,306.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.86 : 2,181.53 = 1,306.16 : x
2. Step 2: Convert to fraction form
   1,461.86/2,181.53 = 1,306.16/x
3. Step 3: Cross multiply
   1,461.86x = 2,181.53 × 1,306.16
4. Step 4: Simplify right side
   1,461.86x = 2,849,427.22
5. Step 5: Solve for x
   x = 2,849,427.22/1,461.86
6. Step 6: Final answer
   x = 1,949.18