Finding the Fourth Proportional to 10,074.84, 15,099.12 and 5,140.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.84 : 15,099.12 = 5,140.32 : x
2. Step 2: Convert to fraction form
   10,074.84/15,099.12 = 5,140.32/x
3. Step 3: Cross multiply
   10,074.84x = 15,099.12 × 5,140.32
4. Step 4: Simplify right side
   10,074.84x = 77,614,308.52
5. Step 5: Solve for x
   x = 77,614,308.52/10,074.84
6. Step 6: Final answer
   x = 7,703.78