Finding the Fourth Proportional to 12,585.23, 17,357.77 and 7,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,585.23 : 17,357.77 = 7,802.50 : x
2. Step 2: Convert to fraction form
   12,585.23/17,357.77 = 7,802.50/x
3. Step 3: Cross multiply
   12,585.23x = 17,357.77 × 7,802.50
4. Step 4: Simplify right side
   12,585.23x = 135,433,913.64
5. Step 5: Solve for x
   x = 135,433,913.64/12,585.23
6. Step 6: Final answer
   x = 10,761.34