Finding the Fourth Proportional to 76,741.84, 105,894.30 and 42,742

Step by Step Solution

1. Step 1: Write the proportion equation
   76,741.84 : 105,894.30 = 42,742 : x
2. Step 2: Convert to fraction form
   76,741.84/105,894.30 = 42,742/x
3. Step 3: Cross multiply
   76,741.84x = 105,894.30 × 42,742
4. Step 4: Simplify right side
   76,741.84x = 4,526,134,170.60
5. Step 5: Solve for x
   x = 4,526,134,170.60/76,741.84
6. Step 6: Final answer
   x = 58,978.70