Finding the Fourth Proportional to 10,591, 15,887.58 and 3,665.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591 : 15,887.58 = 3,665.48 : x
2. Step 2: Convert to fraction form
   10,591/15,887.58 = 3,665.48/x
3. Step 3: Cross multiply
   10,591x = 15,887.58 × 3,665.48
4. Step 4: Simplify right side
   10,591x = 58,235,606.74
5. Step 5: Solve for x
   x = 58,235,606.74/10,591
6. Step 6: Final answer
   x = 5,498.59