Finding the Fourth Proportional to 3,914.65, 5,900.74 and 3,688.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.65 : 5,900.74 = 3,688.80 : x
2. Step 2: Convert to fraction form
   3,914.65/5,900.74 = 3,688.80/x
3. Step 3: Cross multiply
   3,914.65x = 5,900.74 × 3,688.80
4. Step 4: Simplify right side
   3,914.65x = 21,766,649.71
5. Step 5: Solve for x
   x = 21,766,649.71/3,914.65
6. Step 6: Final answer
   x = 5,560.31