Finding the Fourth Proportional to 10,261.82, 15,383.52 and 3,686.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.82 : 15,383.52 = 3,686.48 : x
2. Step 2: Convert to fraction form
   10,261.82/15,383.52 = 3,686.48/x
3. Step 3: Cross multiply
   10,261.82x = 15,383.52 × 3,686.48
4. Step 4: Simplify right side
   10,261.82x = 56,711,038.81
5. Step 5: Solve for x
   x = 56,711,038.81/10,261.82
6. Step 6: Final answer
   x = 5,526.41