Finding the Fourth Proportional to 10,389.87, 14,338.35 and 5,674.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,389.87 : 14,338.35 = 5,674.32 : x
2. Step 2: Convert to fraction form
   10,389.87/14,338.35 = 5,674.32/x
3. Step 3: Cross multiply
   10,389.87x = 14,338.35 × 5,674.32
4. Step 4: Simplify right side
   10,389.87x = 81,360,386.17
5. Step 5: Solve for x
   x = 81,360,386.17/10,389.87
6. Step 6: Final answer
   x = 7,830.74