Finding the Fourth Proportional to 10,412.02, 14,368.51 and 5,696.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.02 : 14,368.51 = 5,696.30 : x
2. Step 2: Convert to fraction form
   10,412.02/14,368.51 = 5,696.30/x
3. Step 3: Cross multiply
   10,412.02x = 14,368.51 × 5,696.30
4. Step 4: Simplify right side
   10,412.02x = 81,847,362.16
5. Step 5: Solve for x
   x = 81,847,362.16/10,412.02
6. Step 6: Final answer
   x = 7,860.85