Finding the Fourth Proportional to 10,503.42, 14,494.68 and 5,787.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,503.42 : 14,494.68 = 5,787.60 : x
2. Step 2: Convert to fraction form
   10,503.42/14,494.68 = 5,787.60/x
3. Step 3: Cross multiply
   10,503.42x = 14,494.68 × 5,787.60
4. Step 4: Simplify right side
   10,503.42x = 83,889,409.97
5. Step 5: Solve for x
   x = 83,889,409.97/10,503.42
6. Step 6: Final answer
   x = 7,986.87