Finding the Fourth Proportional to 10,455.77, 14,428.98 and 5,740.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.77 : 14,428.98 = 5,740.35 : x
2. Step 2: Convert to fraction form
   10,455.77/14,428.98 = 5,740.35/x
3. Step 3: Cross multiply
   10,455.77x = 14,428.98 × 5,740.35
4. Step 4: Simplify right side
   10,455.77x = 82,827,395.34
5. Step 5: Solve for x
   x = 82,827,395.34/10,455.77
6. Step 6: Final answer
   x = 7,921.70