Finding the Fourth Proportional to 10,678.56, 14,742.72 and 7,702.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.56 : 14,742.72 = 7,702.08 : x
2. Step 2: Convert to fraction form
   10,678.56/14,742.72 = 7,702.08/x
3. Step 3: Cross multiply
   10,678.56x = 14,742.72 × 7,702.08
4. Step 4: Simplify right side
   10,678.56x = 113,549,608.86
5. Step 5: Solve for x
   x = 113,549,608.86/10,678.56
6. Step 6: Final answer
   x = 10,633.42