Finding the Fourth Proportional to 10,077.60, 15,116.43 and 3,057.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.60 : 15,116.43 = 3,057.67 : x
2. Step 2: Convert to fraction form
   10,077.60/15,116.43 = 3,057.67/x
3. Step 3: Cross multiply
   10,077.60x = 15,116.43 × 3,057.67
4. Step 4: Simplify right side
   10,077.60x = 46,221,070.56
5. Step 5: Solve for x
   x = 46,221,070.56/10,077.60
6. Step 6: Final answer
   x = 4,586.52