Finding the Fourth Proportional to 9,516.79, 13,131.62 and 5,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.79 : 13,131.62 = 5,977.50 : x
2. Step 2: Convert to fraction form
   9,516.79/13,131.62 = 5,977.50/x
3. Step 3: Cross multiply
   9,516.79x = 13,131.62 × 5,977.50
4. Step 4: Simplify right side
   9,516.79x = 78,494,201.83
5. Step 5: Solve for x
   x = 78,494,201.83/9,516.79
6. Step 6: Final answer
   x = 8,247.97