Finding the Fourth Proportional to 5,384.61, 8,075.56 and 3,820.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384.61 : 8,075.56 = 3,820.05 : x
2. Step 2: Convert to fraction form
   5,384.61/8,075.56 = 3,820.05/x
3. Step 3: Cross multiply
   5,384.61x = 8,075.56 × 3,820.05
4. Step 4: Simplify right side
   5,384.61x = 30,849,042.98
5. Step 5: Solve for x
   x = 30,849,042.98/5,384.61
6. Step 6: Final answer
   x = 5,729.11