Finding the Fourth Proportional to 76,538.43, 105,624.29 and 42,084.61

Step by Step Solution

1. Step 1: Write the proportion equation
   76,538.43 : 105,624.29 = 42,084.61 : x
2. Step 2: Convert to fraction form
   76,538.43/105,624.29 = 42,084.61/x
3. Step 3: Cross multiply
   76,538.43x = 105,624.29 × 42,084.61
4. Step 4: Simplify right side
   76,538.43x = 4,445,157,051.18
5. Step 5: Solve for x
   x = 4,445,157,051.18/76,538.43
6. Step 6: Final answer
   x = 58,077.45