Finding the Fourth Proportional to 5,779.54, 8,627.50 and 5,078.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,779.54 : 8,627.50 = 5,078.92 : x
2. Step 2: Convert to fraction form
   5,779.54/8,627.50 = 5,078.92/x
3. Step 3: Cross multiply
   5,779.54x = 8,627.50 × 5,078.92
4. Step 4: Simplify right side
   5,779.54x = 43,818,382.30
5. Step 5: Solve for x
   x = 43,818,382.30/5,779.54
6. Step 6: Final answer
   x = 7,581.64