Finding the Fourth Proportional to 6,024.76, 8,978.01 and 5,826.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,024.76 : 8,978.01 = 5,826.58 : x
2. Step 2: Convert to fraction form
   6,024.76/8,978.01 = 5,826.58/x
3. Step 3: Cross multiply
   6,024.76x = 8,978.01 × 5,826.58
4. Step 4: Simplify right side
   6,024.76x = 52,311,093.51
5. Step 5: Solve for x
   x = 52,311,093.51/6,024.76
6. Step 6: Final answer
   x = 8,682.69