Finding the Fourth Proportional to 9,875.29, 14,813.86 and 3,635.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.29 : 14,813.86 = 3,635.42 : x
2. Step 2: Convert to fraction form
   9,875.29/14,813.86 = 3,635.42/x
3. Step 3: Cross multiply
   9,875.29x = 14,813.86 × 3,635.42
4. Step 4: Simplify right side
   9,875.29x = 53,854,602.92
5. Step 5: Solve for x
   x = 53,854,602.92/9,875.29
6. Step 6: Final answer
   x = 5,453.47