Finding the Fourth Proportional to 9,971.25, 13,762.17 and 5,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.25 : 13,762.17 = 5,779.50 : x
2. Step 2: Convert to fraction form
   9,971.25/13,762.17 = 5,779.50/x
3. Step 3: Cross multiply
   9,971.25x = 13,762.17 × 5,779.50
4. Step 4: Simplify right side
   9,971.25x = 79,538,461.52
5. Step 5: Solve for x
   x = 79,538,461.52/9,971.25
6. Step 6: Final answer
   x = 7,976.78