Finding the Fourth Proportional to 282,567.42, 424,016.37 and 105,200.10

Step by Step Solution

1. Step 1: Write the proportion equation
   282,567.42 : 424,016.37 = 105,200.10 : x
2. Step 2: Convert to fraction form
   282,567.42/424,016.37 = 105,200.10/x
3. Step 3: Cross multiply
   282,567.42x = 424,016.37 × 105,200.10
4. Step 4: Simplify right side
   282,567.42x = 44,606,564,525.64
5. Step 5: Solve for x
   x = 44,606,564,525.64/282,567.42
6. Step 6: Final answer
   x = 157,861.67