Finding the Fourth Proportional to 10,494.86, 14,482.88 and 5,779.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.86 : 14,482.88 = 5,779.14 : x
2. Step 2: Convert to fraction form
   10,494.86/14,482.88 = 5,779.14/x
3. Step 3: Cross multiply
   10,494.86x = 14,482.88 × 5,779.14
4. Step 4: Simplify right side
   10,494.86x = 83,698,562.23
5. Step 5: Solve for x
   x = 83,698,562.23/10,494.86
6. Step 6: Final answer
   x = 7,975.20