Finding the Fourth Proportional to 10,075.78, 13,900.59 and 5,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.78 : 13,900.59 = 5,826.06 : x
2. Step 2: Convert to fraction form
   10,075.78/13,900.59 = 5,826.06/x
3. Step 3: Cross multiply
   10,075.78x = 13,900.59 × 5,826.06
4. Step 4: Simplify right side
   10,075.78x = 80,985,671.38
5. Step 5: Solve for x
   x = 80,985,671.38/10,075.78
6. Step 6: Final answer
   x = 8,037.66