Finding the Fourth Proportional to 9,619.96, 13,275.59 and 5,641.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619.96 : 13,275.59 = 5,641.13 : x
2. Step 2: Convert to fraction form
   9,619.96/13,275.59 = 5,641.13/x
3. Step 3: Cross multiply
   9,619.96x = 13,275.59 × 5,641.13
4. Step 4: Simplify right side
   9,619.96x = 74,889,376.31
5. Step 5: Solve for x
   x = 74,889,376.31/9,619.96
6. Step 6: Final answer
   x = 7,784.79