Finding the Fourth Proportional to 19,905.78, 29,858.69 and 5,114.82

Step by Step Solution

1. Step 1: Write the proportion equation
   19,905.78 : 29,858.69 = 5,114.82 : x
2. Step 2: Convert to fraction form
   19,905.78/29,858.69 = 5,114.82/x
3. Step 3: Cross multiply
   19,905.78x = 29,858.69 × 5,114.82
4. Step 4: Simplify right side
   19,905.78x = 152,721,649.92
5. Step 5: Solve for x
   x = 152,721,649.92/19,905.78
6. Step 6: Final answer
   x = 7,672.23