Finding the Fourth Proportional to 10,541.94, 14,547.78 and 5,826.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.94 : 14,547.78 = 5,826.26 : x
2. Step 2: Convert to fraction form
   10,541.94/14,547.78 = 5,826.26/x
3. Step 3: Cross multiply
   10,541.94x = 14,547.78 × 5,826.26
4. Step 4: Simplify right side
   10,541.94x = 84,759,075.96
5. Step 5: Solve for x
   x = 84,759,075.96/10,541.94
6. Step 6: Final answer
   x = 8,040.18