Finding the Fourth Proportional to 17,685.31, 26,529.63 and 5,205.34

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685.31 : 26,529.63 = 5,205.34 : x
2. Step 2: Convert to fraction form
   17,685.31/26,529.63 = 5,205.34/x
3. Step 3: Cross multiply
   17,685.31x = 26,529.63 × 5,205.34
4. Step 4: Simplify right side
   17,685.31x = 138,095,744.22
5. Step 5: Solve for x
   x = 138,095,744.22/17,685.31
6. Step 6: Final answer
   x = 7,808.50