Finding the Fourth Proportional to 9,927.16, 13,699.71 and 5,678.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,927.16 : 13,699.71 = 5,678.62 : x
2. Step 2: Convert to fraction form
   9,927.16/13,699.71 = 5,678.62/x
3. Step 3: Cross multiply
   9,927.16x = 13,699.71 × 5,678.62
4. Step 4: Simplify right side
   9,927.16x = 77,795,412.95
5. Step 5: Solve for x
   x = 77,795,412.95/9,927.16
6. Step 6: Final answer
   x = 7,836.63