Finding the Fourth Proportional to 76,538.64, 105,624.57 and 42,084.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76,538.64 : 105,624.57 = 42,084.82 : x
2. Step 2: Convert to fraction form
   76,538.64/105,624.57 = 42,084.82/x
3. Step 3: Cross multiply
   76,538.64x = 105,624.57 × 42,084.82
4. Step 4: Simplify right side
   76,538.64x = 4,445,191,016.03
5. Step 5: Solve for x
   x = 4,445,191,016.03/76,538.64
6. Step 6: Final answer
   x = 58,077.74