Finding the Fourth Proportional to 10,377.47, 14,322.18 and 5,902.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.47 : 14,322.18 = 5,902.32 : x
2. Step 2: Convert to fraction form
   10,377.47/14,322.18 = 5,902.32/x
3. Step 3: Cross multiply
   10,377.47x = 14,322.18 × 5,902.32
4. Step 4: Simplify right side
   10,377.47x = 84,534,089.46
5. Step 5: Solve for x
   x = 84,534,089.46/10,377.47
6. Step 6: Final answer
   x = 8,145.92