Finding the Fourth Proportional to 10,112.84, 15,172.86 and 5,184.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.84 : 15,172.86 = 5,184.80 : x
2. Step 2: Convert to fraction form
   10,112.84/15,172.86 = 5,184.80/x
3. Step 3: Cross multiply
   10,112.84x = 15,172.86 × 5,184.80
4. Step 4: Simplify right side
   10,112.84x = 78,668,244.53
5. Step 5: Solve for x
   x = 78,668,244.53/10,112.84
6. Step 6: Final answer
   x = 7,779.05