Finding the Fourth Proportional to 5,132.83, 7,705.62 and 5,109.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,132.83 : 7,705.62 = 5,109.14 : x
2. Step 2: Convert to fraction form
   5,132.83/7,705.62 = 5,109.14/x
3. Step 3: Cross multiply
   5,132.83x = 7,705.62 × 5,109.14
4. Step 4: Simplify right side
   5,132.83x = 39,369,091.37
5. Step 5: Solve for x
   x = 39,369,091.37/5,132.83
6. Step 6: Final answer
   x = 7,670.06