Finding the Fourth Proportional to 11,594.92, 17,388.78 and 3,802

Step by Step Solution

1. Step 1: Write the proportion equation
   11,594.92 : 17,388.78 = 3,802 : x
2. Step 2: Convert to fraction form
   11,594.92/17,388.78 = 3,802/x
3. Step 3: Cross multiply
   11,594.92x = 17,388.78 × 3,802
4. Step 4: Simplify right side
   11,594.92x = 66,112,141.56
5. Step 5: Solve for x
   x = 66,112,141.56/11,594.92
6. Step 6: Final answer
   x = 5,701.82