Finding the Fourth Proportional to 5,384.16, 8,071.89 and 1,684.49

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384.16 : 8,071.89 = 1,684.49 : x
2. Step 2: Convert to fraction form
   5,384.16/8,071.89 = 1,684.49/x
3. Step 3: Cross multiply
   5,384.16x = 8,071.89 × 1,684.49
4. Step 4: Simplify right side
   5,384.16x = 13,596,977.63
5. Step 5: Solve for x
   x = 13,596,977.63/5,384.16
6. Step 6: Final answer
   x = 2,525.37