Finding the Fourth Proportional to 9,119.88, 12,585.12 and 5,140.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.88 : 12,585.12 = 5,140.76 : x
2. Step 2: Convert to fraction form
   9,119.88/12,585.12 = 5,140.76/x
3. Step 3: Cross multiply
   9,119.88x = 12,585.12 × 5,140.76
4. Step 4: Simplify right side
   9,119.88x = 64,697,081.49
5. Step 5: Solve for x
   x = 64,697,081.49/9,119.88
6. Step 6: Final answer
   x = 7,094.07