Finding the Fourth Proportional to 9,513.02, 13,129.50 and 5,976.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.02 : 13,129.50 = 5,976.74 : x
2. Step 2: Convert to fraction form
   9,513.02/13,129.50 = 5,976.74/x
3. Step 3: Cross multiply
   9,513.02x = 13,129.50 × 5,976.74
4. Step 4: Simplify right side
   9,513.02x = 78,471,607.83
5. Step 5: Solve for x
   x = 78,471,607.83/9,513.02
6. Step 6: Final answer
   x = 8,248.86