Finding the Fourth Proportional to 2,099.65, 3,146.86 and 2,077.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.65 : 3,146.86 = 2,077.69 : x
2. Step 2: Convert to fraction form
   2,099.65/3,146.86 = 2,077.69/x
3. Step 3: Cross multiply
   2,099.65x = 3,146.86 × 2,077.69
4. Step 4: Simplify right side
   2,099.65x = 6,538,199.55
5. Step 5: Solve for x
   x = 6,538,199.55/2,099.65
6. Step 6: Final answer
   x = 3,113.95