Finding the Fourth Proportional to 11,586.16, 17,380.05 and 3,792.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586.16 : 17,380.05 = 3,792.34 : x
2. Step 2: Convert to fraction form
   11,586.16/17,380.05 = 3,792.34/x
3. Step 3: Cross multiply
   11,586.16x = 17,380.05 × 3,792.34
4. Step 4: Simplify right side
   11,586.16x = 65,911,058.82
5. Step 5: Solve for x
   x = 65,911,058.82/11,586.16
6. Step 6: Final answer
   x = 5,688.78