Finding the Fourth Proportional to 9,902.94, 13,665.15 and 5,710.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.94 : 13,665.15 = 5,710.38 : x
2. Step 2: Convert to fraction form
   9,902.94/13,665.15 = 5,710.38/x
3. Step 3: Cross multiply
   9,902.94x = 13,665.15 × 5,710.38
4. Step 4: Simplify right side
   9,902.94x = 78,033,199.26
5. Step 5: Solve for x
   x = 78,033,199.26/9,902.94
6. Step 6: Final answer
   x = 7,879.80