Finding the Fourth Proportional to 9,882.34, 13,637.55 and 5,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.34 : 13,637.55 = 5,690.50 : x
2. Step 2: Convert to fraction form
   9,882.34/13,637.55 = 5,690.50/x
3. Step 3: Cross multiply
   9,882.34x = 13,637.55 × 5,690.50
4. Step 4: Simplify right side
   9,882.34x = 77,604,478.28
5. Step 5: Solve for x
   x = 77,604,478.28/9,882.34
6. Step 6: Final answer
   x = 7,852.84