Finding the Fourth Proportional to 9,885.25, 13,642.05 and 5,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.25 : 13,642.05 = 5,693.50 : x
2. Step 2: Convert to fraction form
   9,885.25/13,642.05 = 5,693.50/x
3. Step 3: Cross multiply
   9,885.25x = 13,642.05 × 5,693.50
4. Step 4: Simplify right side
   9,885.25x = 77,671,011.68
5. Step 5: Solve for x
   x = 77,671,011.68/9,885.25
6. Step 6: Final answer
   x = 7,857.26