Finding the Fourth Proportional to 10,494.72, 14,482.80 and 5,779.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.72 : 14,482.80 = 5,779.20 : x
2. Step 2: Convert to fraction form
   10,494.72/14,482.80 = 5,779.20/x
3. Step 3: Cross multiply
   10,494.72x = 14,482.80 × 5,779.20
4. Step 4: Simplify right side
   10,494.72x = 83,698,997.76
5. Step 5: Solve for x
   x = 83,698,997.76/10,494.72
6. Step 6: Final answer
   x = 7,975.34