Finding the Fourth Proportional to 10,085, 15,123.56 and 5,926.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085 : 15,123.56 = 5,926.08 : x
2. Step 2: Convert to fraction form
   10,085/15,123.56 = 5,926.08/x
3. Step 3: Cross multiply
   10,085x = 15,123.56 × 5,926.08
4. Step 4: Simplify right side
   10,085x = 89,623,426.44
5. Step 5: Solve for x
   x = 89,623,426.44/10,085
6. Step 6: Final answer
   x = 8,886.80