Finding the Fourth Proportional to 9,816.64, 13,547.83 and 5,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.64 : 13,547.83 = 5,783.50 : x
2. Step 2: Convert to fraction form
   9,816.64/13,547.83 = 5,783.50/x
3. Step 3: Cross multiply
   9,816.64x = 13,547.83 × 5,783.50
4. Step 4: Simplify right side
   9,816.64x = 78,353,874.81
5. Step 5: Solve for x
   x = 78,353,874.81/9,816.64
6. Step 6: Final answer
   x = 7,981.74