Finding the Fourth Proportional to 10,730.62, 16,097.10 and 5,182.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.62 : 16,097.10 = 5,182.90 : x
2. Step 2: Convert to fraction form
   10,730.62/16,097.10 = 5,182.90/x
3. Step 3: Cross multiply
   10,730.62x = 16,097.10 × 5,182.90
4. Step 4: Simplify right side
   10,730.62x = 83,429,659.59
5. Step 5: Solve for x
   x = 83,429,659.59/10,730.62
6. Step 6: Final answer
   x = 7,774.92