Finding the Fourth Proportional to 10,261.60, 15,383.16 and 3,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.60 : 15,383.16 = 3,686.24 : x
2. Step 2: Convert to fraction form
   10,261.60/15,383.16 = 3,686.24/x
3. Step 3: Cross multiply
   10,261.60x = 15,383.16 × 3,686.24
4. Step 4: Simplify right side
   10,261.60x = 56,706,019.72
5. Step 5: Solve for x
   x = 56,706,019.72/10,261.60
6. Step 6: Final answer
   x = 5,526.04