Finding the Fourth Proportional to 10,076.29, 13,905 and 5,599.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.29 : 13,905 = 5,599.93 : x
2. Step 2: Convert to fraction form
   10,076.29/13,905 = 5,599.93/x
3. Step 3: Cross multiply
   10,076.29x = 13,905 × 5,599.93
4. Step 4: Simplify right side
   10,076.29x = 77,867,026.65
5. Step 5: Solve for x
   x = 77,867,026.65/10,076.29
6. Step 6: Final answer
   x = 7,727.75