Finding the Fourth Proportional to 10,182.23, 14,070.77 and 7,659.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.23 : 14,070.77 = 7,659.96 : x
2. Step 2: Convert to fraction form
   10,182.23/14,070.77 = 7,659.96/x
3. Step 3: Cross multiply
   10,182.23x = 14,070.77 × 7,659.96
4. Step 4: Simplify right side
   10,182.23x = 107,781,465.02
5. Step 5: Solve for x
   x = 107,781,465.02/10,182.23
6. Step 6: Final answer
   x = 10,585.26