Finding the Fourth Proportional to 9,338.96, 12,887.24 and 5,802.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338.96 : 12,887.24 = 5,802.14 : x
2. Step 2: Convert to fraction form
   9,338.96/12,887.24 = 5,802.14/x
3. Step 3: Cross multiply
   9,338.96x = 12,887.24 × 5,802.14
4. Step 4: Simplify right side
   9,338.96x = 74,773,570.69
5. Step 5: Solve for x
   x = 74,773,570.69/9,338.96
6. Step 6: Final answer
   x = 8,006.63