Finding the Fourth Proportional to 3,659.78, 5,488.12 and 1,407.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,659.78 : 5,488.12 = 1,407.94 : x
2. Step 2: Convert to fraction form
   3,659.78/5,488.12 = 1,407.94/x
3. Step 3: Cross multiply
   3,659.78x = 5,488.12 × 1,407.94
4. Step 4: Simplify right side
   3,659.78x = 7,726,943.67
5. Step 5: Solve for x
   x = 7,726,943.67/3,659.78
6. Step 6: Final answer
   x = 2,111.31