Finding the Fourth Proportional to 5,782.02, 7,977.05 and 3,795.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,782.02 : 7,977.05 = 3,795.27 : x
2. Step 2: Convert to fraction form
   5,782.02/7,977.05 = 3,795.27/x
3. Step 3: Cross multiply
   5,782.02x = 7,977.05 × 3,795.27
4. Step 4: Simplify right side
   5,782.02x = 30,275,068.77
5. Step 5: Solve for x
   x = 30,275,068.77/5,782.02
6. Step 6: Final answer
   x = 5,236.07