Finding the Fourth Proportional to 9,785.09, 13,501.35 and 5,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.09 : 13,501.35 = 5,807.50 : x
2. Step 2: Convert to fraction form
   9,785.09/13,501.35 = 5,807.50/x
3. Step 3: Cross multiply
   9,785.09x = 13,501.35 × 5,807.50
4. Step 4: Simplify right side
   9,785.09x = 78,409,056.37
5. Step 5: Solve for x
   x = 78,409,056.37/9,785.09
6. Step 6: Final answer
   x = 8,013.11