Finding the Fourth Proportional to 9,119.65, 12,585.89 and 5,141.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.65 : 12,585.89 = 5,141.59 : x
2. Step 2: Convert to fraction form
   9,119.65/12,585.89 = 5,141.59/x
3. Step 3: Cross multiply
   9,119.65x = 12,585.89 × 5,141.59
4. Step 4: Simplify right side
   9,119.65x = 64,711,486.17
5. Step 5: Solve for x
   x = 64,711,486.17/9,119.65
6. Step 6: Final answer
   x = 7,095.83