Finding the Fourth Proportional to 10,075.68, 13,904.46 and 5,599.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.68 : 13,904.46 = 5,599.71 : x
2. Step 2: Convert to fraction form
   10,075.68/13,904.46 = 5,599.71/x
3. Step 3: Cross multiply
   10,075.68x = 13,904.46 × 5,599.71
4. Step 4: Simplify right side
   10,075.68x = 77,860,943.71
5. Step 5: Solve for x
   x = 77,860,943.71/10,075.68
6. Step 6: Final answer
   x = 7,727.61