Finding the Fourth Proportional to 5,189.31, 7,779.06 and 2,414.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.31 : 7,779.06 = 2,414.52 : x
2. Step 2: Convert to fraction form
   5,189.31/7,779.06 = 2,414.52/x
3. Step 3: Cross multiply
   5,189.31x = 7,779.06 × 2,414.52
4. Step 4: Simplify right side
   5,189.31x = 18,782,695.95
5. Step 5: Solve for x
   x = 18,782,695.95/5,189.31
6. Step 6: Final answer
   x = 3,619.50