Finding the Fourth Proportional to 10,582.56, 15,881.04 and 3,657

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.56 : 15,881.04 = 3,657 : x
2. Step 2: Convert to fraction form
   10,582.56/15,881.04 = 3,657/x
3. Step 3: Cross multiply
   10,582.56x = 15,881.04 × 3,657
4. Step 4: Simplify right side
   10,582.56x = 58,076,963.28
5. Step 5: Solve for x
   x = 58,076,963.28/10,582.56
6. Step 6: Final answer
   x = 5,487.99