Finding the Fourth Proportional to 10,100.42, 13,909.16 and 7,858.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.42 : 13,909.16 = 7,858.52 : x
2. Step 2: Convert to fraction form
   10,100.42/13,909.16 = 7,858.52/x
3. Step 3: Cross multiply
   10,100.42x = 13,909.16 × 7,858.52
4. Step 4: Simplify right side
   10,100.42x = 109,305,412.04
5. Step 5: Solve for x
   x = 109,305,412.04/10,100.42
6. Step 6: Final answer
   x = 10,821.87