Finding the Fourth Proportional to 9,613.65, 13,263.29 and 5,633.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,613.65 : 13,263.29 = 5,633.31 : x
2. Step 2: Convert to fraction form
   9,613.65/13,263.29 = 5,633.31/x
3. Step 3: Cross multiply
   9,613.65x = 13,263.29 × 5,633.31
4. Step 4: Simplify right side
   9,613.65x = 74,716,298.57
5. Step 5: Solve for x
   x = 74,716,298.57/9,613.65
6. Step 6: Final answer
   x = 7,771.89