Finding the Fourth Proportional to 11,897.84, 17,833.86 and 7,740.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,897.84 : 17,833.86 = 7,740.81 : x
2. Step 2: Convert to fraction form
   11,897.84/17,833.86 = 7,740.81/x
3. Step 3: Cross multiply
   11,897.84x = 17,833.86 × 7,740.81
4. Step 4: Simplify right side
   11,897.84x = 138,048,521.83
5. Step 5: Solve for x
   x = 138,048,521.83/11,897.84
6. Step 6: Final answer
   x = 11,602.82