Finding the Fourth Proportional to 10,588.82, 15,892.74 and 7,781.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.82 : 15,892.74 = 7,781.22 : x
2. Step 2: Convert to fraction form
   10,588.82/15,892.74 = 7,781.22/x
3. Step 3: Cross multiply
   10,588.82x = 15,892.74 × 7,781.22
4. Step 4: Simplify right side
   10,588.82x = 123,664,906.34
5. Step 5: Solve for x
   x = 123,664,906.34/10,588.82
6. Step 6: Final answer
   x = 11,678.82