Finding the Fourth Proportional to 10,378.18, 14,322.29 and 5,902.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.18 : 14,322.29 = 5,902.34 : x
2. Step 2: Convert to fraction form
   10,378.18/14,322.29 = 5,902.34/x
3. Step 3: Cross multiply
   10,378.18x = 14,322.29 × 5,902.34
4. Step 4: Simplify right side
   10,378.18x = 84,535,025.16
5. Step 5: Solve for x
   x = 84,535,025.16/10,378.18
6. Step 6: Final answer
   x = 8,145.46