Finding the Fourth Proportional to 10,832.25, 14,948.51 and 5,864.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832.25 : 14,948.51 = 5,864.25 : x
2. Step 2: Convert to fraction form
   10,832.25/14,948.51 = 5,864.25/x
3. Step 3: Cross multiply
   10,832.25x = 14,948.51 × 5,864.25
4. Step 4: Simplify right side
   10,832.25x = 87,661,799.77
5. Step 5: Solve for x
   x = 87,661,799.77/10,832.25
6. Step 6: Final answer
   x = 8,092.67