Finding the Fourth Proportional to 10,008.16, 13,805.82 and 6,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,008.16 : 13,805.82 = 6,978.50 : x
2. Step 2: Convert to fraction form
   10,008.16/13,805.82 = 6,978.50/x
3. Step 3: Cross multiply
   10,008.16x = 13,805.82 × 6,978.50
4. Step 4: Simplify right side
   10,008.16x = 96,343,914.87
5. Step 5: Solve for x
   x = 96,343,914.87/10,008.16
6. Step 6: Final answer
   x = 9,626.54