Finding the Fourth Proportional to 13,997.86, 21,006.15 and 7,764.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,997.86 : 21,006.15 = 7,764.10 : x
2. Step 2: Convert to fraction form
   13,997.86/21,006.15 = 7,764.10/x
3. Step 3: Cross multiply
   13,997.86x = 21,006.15 × 7,764.10
4. Step 4: Simplify right side
   13,997.86x = 163,093,849.22
5. Step 5: Solve for x
   x = 163,093,849.22/13,997.86
6. Step 6: Final answer
   x = 11,651.34