Finding the Fourth Proportional to 5,384.82, 8,077.50 and 1,687.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384.82 : 8,077.50 = 1,687.05 : x
2. Step 2: Convert to fraction form
   5,384.82/8,077.50 = 1,687.05/x
3. Step 3: Cross multiply
   5,384.82x = 8,077.50 × 1,687.05
4. Step 4: Simplify right side
   5,384.82x = 13,627,146.38
5. Step 5: Solve for x
   x = 13,627,146.38/5,384.82
6. Step 6: Final answer
   x = 2,530.66