Finding the Fourth Proportional to 10,255.22, 14,151.80 and 5,779.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.22 : 14,151.80 = 5,779.87 : x
2. Step 2: Convert to fraction form
   10,255.22/14,151.80 = 5,779.87/x
3. Step 3: Cross multiply
   10,255.22x = 14,151.80 × 5,779.87
4. Step 4: Simplify right side
   10,255.22x = 81,795,564.27
5. Step 5: Solve for x
   x = 81,795,564.27/10,255.22
6. Step 6: Final answer
   x = 7,975.99