Finding the Fourth Proportional to 10,541.84, 14,547.75 and 5,826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.84 : 14,547.75 = 5,826.42 : x
2. Step 2: Convert to fraction form
   10,541.84/14,547.75 = 5,826.42/x
3. Step 3: Cross multiply
   10,541.84x = 14,547.75 × 5,826.42
4. Step 4: Simplify right side
   10,541.84x = 84,761,301.56
5. Step 5: Solve for x
   x = 84,761,301.56/10,541.84
6. Step 6: Final answer
   x = 8,040.47