Finding the Fourth Proportional to 10,494.62, 14,482.53 and 5,778.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.62 : 14,482.53 = 5,778.89 : x
2. Step 2: Convert to fraction form
   10,494.62/14,482.53 = 5,778.89/x
3. Step 3: Cross multiply
   10,494.62x = 14,482.53 × 5,778.89
4. Step 4: Simplify right side
   10,494.62x = 83,692,947.79
5. Step 5: Solve for x
   x = 83,692,947.79/10,494.62
6. Step 6: Final answer
   x = 7,974.85