Finding the Fourth Proportional to 10,255.84, 14,152.80 and 5,779.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.84 : 14,152.80 = 5,779.52 : x
2. Step 2: Convert to fraction form
   10,255.84/14,152.80 = 5,779.52/x
3. Step 3: Cross multiply
   10,255.84x = 14,152.80 × 5,779.52
4. Step 4: Simplify right side
   10,255.84x = 81,796,390.66
5. Step 5: Solve for x
   x = 81,796,390.66/10,255.84
6. Step 6: Final answer
   x = 7,975.59