Finding the Fourth Proportional to 5,977.58, 8,238.42 and 5,290.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977.58 : 8,238.42 = 5,290.16 : x
2. Step 2: Convert to fraction form
   5,977.58/8,238.42 = 5,290.16/x
3. Step 3: Cross multiply
   5,977.58x = 8,238.42 × 5,290.16
4. Step 4: Simplify right side
   5,977.58x = 43,582,518.76
5. Step 5: Solve for x
   x = 43,582,518.76/5,977.58
6. Step 6: Final answer
   x = 7,291.00