Finding the Fourth Proportional to 9,130.40, 12,605.34 and 5,776.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,130.40 : 12,605.34 = 5,776.16 : x
2. Step 2: Convert to fraction form
   9,130.40/12,605.34 = 5,776.16/x
3. Step 3: Cross multiply
   9,130.40x = 12,605.34 × 5,776.16
4. Step 4: Simplify right side
   9,130.40x = 72,810,460.69
5. Step 5: Solve for x
   x = 72,810,460.69/9,130.40
6. Step 6: Final answer
   x = 7,974.51