Finding the Fourth Proportional to 10,494.54, 14,482.26 and 5,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.54 : 14,482.26 = 5,778.72 : x
2. Step 2: Convert to fraction form
   10,494.54/14,482.26 = 5,778.72/x
3. Step 3: Cross multiply
   10,494.54x = 14,482.26 × 5,778.72
4. Step 4: Simplify right side
   10,494.54x = 83,688,925.51
5. Step 5: Solve for x
   x = 83,688,925.51/10,494.54
6. Step 6: Final answer
   x = 7,974.52