Finding the Fourth Proportional to 10,541.84, 14,547.03 and 5,760.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.84 : 14,547.03 = 5,760.81 : x
2. Step 2: Convert to fraction form
   10,541.84/14,547.03 = 5,760.81/x
3. Step 3: Cross multiply
   10,541.84x = 14,547.03 × 5,760.81
4. Step 4: Simplify right side
   10,541.84x = 83,802,675.89
5. Step 5: Solve for x
   x = 83,802,675.89/10,541.84
6. Step 6: Final answer
   x = 7,949.53