Finding the Fourth Proportional to 6,577.02, 9,075.69 and 3,782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,577.02 : 9,075.69 = 3,782.34 : x
2. Step 2: Convert to fraction form
   6,577.02/9,075.69 = 3,782.34/x
3. Step 3: Cross multiply
   6,577.02x = 9,075.69 × 3,782.34
4. Step 4: Simplify right side
   6,577.02x = 34,327,345.31
5. Step 5: Solve for x
   x = 34,327,345.31/6,577.02
6. Step 6: Final answer
   x = 5,219.29