Finding the Fourth Proportional to 11,765.50, 17,649.72 and 3,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,765.50 : 17,649.72 = 3,557.50 : x
2. Step 2: Convert to fraction form
   11,765.50/17,649.72 = 3,557.50/x
3. Step 3: Cross multiply
   11,765.50x = 17,649.72 × 3,557.50
4. Step 4: Simplify right side
   11,765.50x = 62,788,878.90
5. Step 5: Solve for x
   x = 62,788,878.90/11,765.50
6. Step 6: Final answer
   x = 5,336.69