Finding the Fourth Proportional to 10,421.31, 14,381.42 and 5,641.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.31 : 14,381.42 = 5,641.25 : x
2. Step 2: Convert to fraction form
   10,421.31/14,381.42 = 5,641.25/x
3. Step 3: Cross multiply
   10,421.31x = 14,381.42 × 5,641.25
4. Step 4: Simplify right side
   10,421.31x = 81,129,085.46
5. Step 5: Solve for x
   x = 81,129,085.46/10,421.31
6. Step 6: Final answer
   x = 7,784.92