Finding the Fourth Proportional to 14,971.89, 22,451.64 and 5,111.96

Step by Step Solution

1. Step 1: Write the proportion equation
   14,971.89 : 22,451.64 = 5,111.96 : x
2. Step 2: Convert to fraction form
   14,971.89/22,451.64 = 5,111.96/x
3. Step 3: Cross multiply
   14,971.89x = 22,451.64 × 5,111.96
4. Step 4: Simplify right side
   14,971.89x = 114,771,885.61
5. Step 5: Solve for x
   x = 114,771,885.61/14,971.89
6. Step 6: Final answer
   x = 7,665.82