Finding the Fourth Proportional to 10,364.22, 14,302.80 and 5,648.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364.22 : 14,302.80 = 5,648.76 : x
2. Step 2: Convert to fraction form
   10,364.22/14,302.80 = 5,648.76/x
3. Step 3: Cross multiply
   10,364.22x = 14,302.80 × 5,648.76
4. Step 4: Simplify right side
   10,364.22x = 80,793,084.53
5. Step 5: Solve for x
   x = 80,793,084.53/10,364.22
6. Step 6: Final answer
   x = 7,795.38