Finding the Fourth Proportional to 10,357.18, 14,292.96 and 5,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.18 : 14,292.96 = 5,641.50 : x
2. Step 2: Convert to fraction form
   10,357.18/14,292.96 = 5,641.50/x
3. Step 3: Cross multiply
   10,357.18x = 14,292.96 × 5,641.50
4. Step 4: Simplify right side
   10,357.18x = 80,633,733.84
5. Step 5: Solve for x
   x = 80,633,733.84/10,357.18
6. Step 6: Final answer
   x = 7,785.30