Finding the Fourth Proportional to 10,494.64, 14,482.12 and 5,778.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.64 : 14,482.12 = 5,778.84 : x
2. Step 2: Convert to fraction form
   10,494.64/14,482.12 = 5,778.84/x
3. Step 3: Cross multiply
   10,494.64x = 14,482.12 × 5,778.84
4. Step 4: Simplify right side
   10,494.64x = 83,689,854.34
5. Step 5: Solve for x
   x = 83,689,854.34/10,494.64
6. Step 6: Final answer
   x = 7,974.53