Finding the Fourth Proportional to 9,619.32, 13,274.76 and 5,640.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619.32 : 13,274.76 = 5,640.54 : x
2. Step 2: Convert to fraction form
   9,619.32/13,274.76 = 5,640.54/x
3. Step 3: Cross multiply
   9,619.32x = 13,274.76 × 5,640.54
4. Step 4: Simplify right side
   9,619.32x = 74,876,814.77
5. Step 5: Solve for x
   x = 74,876,814.77/9,619.32
6. Step 6: Final answer
   x = 7,784.00