Finding the Fourth Proportional to 105,458.96, 145,382.01 and 75,191.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105,458.96 : 145,382.01 = 75,191.78 : x
2. Step 2: Convert to fraction form
   105,458.96/145,382.01 = 75,191.78/x
3. Step 3: Cross multiply
   105,458.96x = 145,382.01 × 75,191.78
4. Step 4: Simplify right side
   105,458.96x = 10,931,532,111.88
5. Step 5: Solve for x
   x = 10,931,532,111.88/105,458.96
6. Step 6: Final answer
   x = 103,656.74