Finding the Fourth Proportional to 10,411.66, 14,368.30 and 5,696.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.66 : 14,368.30 = 5,696.05 : x
2. Step 2: Convert to fraction form
   10,411.66/14,368.30 = 5,696.05/x
3. Step 3: Cross multiply
   10,411.66x = 14,368.30 × 5,696.05
4. Step 4: Simplify right side
   10,411.66x = 81,842,531.63
5. Step 5: Solve for x
   x = 81,842,531.63/10,411.66
6. Step 6: Final answer
   x = 7,860.66