Finding the Fourth Proportional to 10,412.34, 14,368.98 and 5,696.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.34 : 14,368.98 = 5,696.58 : x
2. Step 2: Convert to fraction form
   10,412.34/14,368.98 = 5,696.58/x
3. Step 3: Cross multiply
   10,412.34x = 14,368.98 × 5,696.58
4. Step 4: Simplify right side
   10,412.34x = 81,854,044.09
5. Step 5: Solve for x
   x = 81,854,044.09/10,412.34
6. Step 6: Final answer
   x = 7,861.25