Finding the Fourth Proportional to 10,501.56, 14,492.12 and 5,785.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.56 : 14,492.12 = 5,785.83 : x
2. Step 2: Convert to fraction form
   10,501.56/14,492.12 = 5,785.83/x
3. Step 3: Cross multiply
   10,501.56x = 14,492.12 × 5,785.83
4. Step 4: Simplify right side
   10,501.56x = 83,848,913.73
5. Step 5: Solve for x
   x = 83,848,913.73/10,501.56
6. Step 6: Final answer
   x = 7,984.42