Finding the Fourth Proportional to 10,435.64, 14,401.10 and 5,719.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,435.64 : 14,401.10 = 5,719.91 : x
2. Step 2: Convert to fraction form
   10,435.64/14,401.10 = 5,719.91/x
3. Step 3: Cross multiply
   10,435.64x = 14,401.10 × 5,719.91
4. Step 4: Simplify right side
   10,435.64x = 82,372,995.90
5. Step 5: Solve for x
   x = 82,372,995.90/10,435.64
6. Step 6: Final answer
   x = 7,893.43