Finding the Fourth Proportional to 10,097.51, 13,932.89 and 5,621.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.51 : 13,932.89 = 5,621.14 : x
2. Step 2: Convert to fraction form
   10,097.51/13,932.89 = 5,621.14/x
3. Step 3: Cross multiply
   10,097.51x = 13,932.89 × 5,621.14
4. Step 4: Simplify right side
   10,097.51x = 78,318,767.30
5. Step 5: Solve for x
   x = 78,318,767.30/10,097.51
6. Step 6: Final answer
   x = 7,756.25