Finding the Fourth Proportional to 10,076.82, 13,903.86 and 5,599.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.82 : 13,903.86 = 5,599.63 : x
2. Step 2: Convert to fraction form
   10,076.82/13,903.86 = 5,599.63/x
3. Step 3: Cross multiply
   10,076.82x = 13,903.86 × 5,599.63
4. Step 4: Simplify right side
   10,076.82x = 77,856,471.57
5. Step 5: Solve for x
   x = 77,856,471.57/10,076.82
6. Step 6: Final answer
   x = 7,726.29