Finding the Fourth Proportional to 11,657.34, 17,488.50 and 3,760.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,657.34 : 17,488.50 = 3,760.30 : x
2. Step 2: Convert to fraction form
   11,657.34/17,488.50 = 3,760.30/x
3. Step 3: Cross multiply
   11,657.34x = 17,488.50 × 3,760.30
4. Step 4: Simplify right side
   11,657.34x = 65,761,981.52
5. Step 5: Solve for x
   x = 65,761,981.52/11,657.34
6. Step 6: Final answer
   x = 5,641.25