Finding the Fourth Proportional to 6,665.91, 9,199.01 and 3,681.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,665.91 : 9,199.01 = 3,681.74 : x
2. Step 2: Convert to fraction form
   6,665.91/9,199.01 = 3,681.74/x
3. Step 3: Cross multiply
   6,665.91x = 9,199.01 × 3,681.74
4. Step 4: Simplify right side
   6,665.91x = 33,868,298.67
5. Step 5: Solve for x
   x = 33,868,298.67/6,665.91
6. Step 6: Final answer
   x = 5,080.82