Finding the Fourth Proportional to 5,730.30, 8,584.29 and 5,111.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,730.30 : 8,584.29 = 5,111.10 : x
2. Step 2: Convert to fraction form
   5,730.30/8,584.29 = 5,111.10/x
3. Step 3: Cross multiply
   5,730.30x = 8,584.29 × 5,111.10
4. Step 4: Simplify right side
   5,730.30x = 43,875,164.62
5. Step 5: Solve for x
   x = 43,875,164.62/5,730.30
6. Step 6: Final answer
   x = 7,656.70