Finding the Fourth Proportional to 10,075.90, 13,905.62 and 5,599.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.90 : 13,905.62 = 5,599.57 : x
2. Step 2: Convert to fraction form
   10,075.90/13,905.62 = 5,599.57/x
3. Step 3: Cross multiply
   10,075.90x = 13,905.62 × 5,599.57
4. Step 4: Simplify right side
   10,075.90x = 77,865,464.59
5. Step 5: Solve for x
   x = 77,865,464.59/10,075.90
6. Step 6: Final answer
   x = 7,727.89