Finding the Fourth Proportional to 9,978.81, 13,769.26 and 5,730.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.81 : 13,769.26 = 5,730.06 : x
2. Step 2: Convert to fraction form
   9,978.81/13,769.26 = 5,730.06/x
3. Step 3: Cross multiply
   9,978.81x = 13,769.26 × 5,730.06
4. Step 4: Simplify right side
   9,978.81x = 78,898,645.81
5. Step 5: Solve for x
   x = 78,898,645.81/9,978.81
6. Step 6: Final answer
   x = 7,906.62