Finding the Fourth Proportional to 3,746.16, 5,617.42 and 1,406.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.16 : 5,617.42 = 1,406.52 : x
2. Step 2: Convert to fraction form
   3,746.16/5,617.42 = 1,406.52/x
3. Step 3: Cross multiply
   3,746.16x = 5,617.42 × 1,406.52
4. Step 4: Simplify right side
   3,746.16x = 7,901,013.58
5. Step 5: Solve for x
   x = 7,901,013.58/3,746.16
6. Step 6: Final answer
   x = 2,109.10