Finding the Fourth Proportional to 11,875.76, 17,805.34 and 5,209.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,875.76 : 17,805.34 = 5,209.06 : x
2. Step 2: Convert to fraction form
   11,875.76/17,805.34 = 5,209.06/x
3. Step 3: Cross multiply
   11,875.76x = 17,805.34 × 5,209.06
4. Step 4: Simplify right side
   11,875.76x = 92,749,084.38
5. Step 5: Solve for x
   x = 92,749,084.38/11,875.76
6. Step 6: Final answer
   x = 7,809.95