Finding the Fourth Proportional to 19,887.05, 29,829.87 and 5,096.10

Step by Step Solution

1. Step 1: Write the proportion equation
   19,887.05 : 29,829.87 = 5,096.10 : x
2. Step 2: Convert to fraction form
   19,887.05/29,829.87 = 5,096.10/x
3. Step 3: Cross multiply
   19,887.05x = 29,829.87 × 5,096.10
4. Step 4: Simplify right side
   19,887.05x = 152,016,000.51
5. Step 5: Solve for x
   x = 152,016,000.51/19,887.05
6. Step 6: Final answer
   x = 7,643.97