Finding the Fourth Proportional to 76,773.84, 105,946.17 and 42,782.16

Step by Step Solution

1. Step 1: Write the proportion equation
   76,773.84 : 105,946.17 = 42,782.16 : x
2. Step 2: Convert to fraction form
   76,773.84/105,946.17 = 42,782.16/x
3. Step 3: Cross multiply
   76,773.84x = 105,946.17 × 42,782.16
4. Step 4: Simplify right side
   76,773.84x = 4,532,605,996.33
5. Step 5: Solve for x
   x = 4,532,605,996.33/76,773.84
6. Step 6: Final answer
   x = 59,038.42