Finding the Fourth Proportional to 9,817.00, 14,728.40 and 5,659.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.00 : 14,728.40 = 5,659.99 : x
2. Step 2: Convert to fraction form
   9,817.00/14,728.40 = 5,659.99/x
3. Step 3: Cross multiply
   9,817.00x = 14,728.40 × 5,659.99
4. Step 4: Simplify right side
   9,817.00x = 83,362,552.82
5. Step 5: Solve for x
   x = 83,362,552.82/9,817.00
6. Step 6: Final answer
   x = 8,491.65