Finding the Fourth Proportional to 10,382.66, 14,328.06 and 5,666.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.66 : 14,328.06 = 5,666.94 : x
2. Step 2: Convert to fraction form
   10,382.66/14,328.06 = 5,666.94/x
3. Step 3: Cross multiply
   10,382.66x = 14,328.06 × 5,666.94
4. Step 4: Simplify right side
   10,382.66x = 81,196,256.34
5. Step 5: Solve for x
   x = 81,196,256.34/10,382.66
6. Step 6: Final answer
   x = 7,820.37