Finding the Fourth Proportional to 1,849.16, 2,547.42 and 1,406.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.16 : 2,547.42 = 1,406.72 : x
2. Step 2: Convert to fraction form
   1,849.16/2,547.42 = 1,406.72/x
3. Step 3: Cross multiply
   1,849.16x = 2,547.42 × 1,406.72
4. Step 4: Simplify right side
   1,849.16x = 3,583,506.66
5. Step 5: Solve for x
   x = 3,583,506.66/1,849.16
6. Step 6: Final answer
   x = 1,937.91