Finding the Fourth Proportional to 102,941.48, 142,066.61 and 75,841.82

Step by Step Solution

1. Step 1: Write the proportion equation
   102,941.48 : 142,066.61 = 75,841.82 : x
2. Step 2: Convert to fraction form
   102,941.48/142,066.61 = 75,841.82/x
3. Step 3: Cross multiply
   102,941.48x = 142,066.61 × 75,841.82
4. Step 4: Simplify right side
   102,941.48x = 10,774,589,991.24
5. Step 5: Solve for x
   x = 10,774,589,991.24/102,941.48
6. Step 6: Final answer
   x = 104,667.13