Finding the Fourth Proportional to 10,075.98, 13,905.87 and 5,884.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.98 : 13,905.87 = 5,884.62 : x
2. Step 2: Convert to fraction form
   10,075.98/13,905.87 = 5,884.62/x
3. Step 3: Cross multiply
   10,075.98x = 13,905.87 × 5,884.62
4. Step 4: Simplify right side
   10,075.98x = 81,830,760.72
5. Step 5: Solve for x
   x = 81,830,760.72/10,075.98
6. Step 6: Final answer
   x = 8,121.37